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Finding the Third Proportional to 734,788,379,716.50 and 1,021,664,508,871.50

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Solution

The third proportional to 734,788,379,716.50 and 1,021,664,508,871.50 is: 1,420,542,835,871.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,788,379,716.50 : 1,021,664,508,871.50 = 1,021,664,508,871.50 : x
  2. Step 2: Convert to fraction form
    734,788,379,716.50/1,021,664,508,871.50 = 1,021,664,508,871.50/x
  3. Step 3: Cross multiply
    734,788,379,716.50x = 1,021,664,508,871.50 × 1,021,664,508,871.50
  4. Step 4: Simplify right side
    734,788,379,716.50x = 1,043,798,368,687,643,240,169,472
  5. Step 5: Solve for x
    x = 1,043,798,368,687,643,240,169,472/734,788,379,716.50
  6. Step 6: Final answer
    x = 1,420,542,835,871.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.