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Finding the Third Proportional to 1,494,634,901.50 and 3,211,078,433

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Solution

The third proportional to 1,494,634,901.50 and 3,211,078,433 is: 6,898,691,240.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494,634,901.50 : 3,211,078,433 = 3,211,078,433 : x
  2. Step 2: Convert to fraction form
    1,494,634,901.50/3,211,078,433 = 3,211,078,433/x
  3. Step 3: Cross multiply
    1,494,634,901.50x = 3,211,078,433 × 3,211,078,433
  4. Step 4: Simplify right side
    1,494,634,901.50x = 10,311,024,702,877,734,912
  5. Step 5: Solve for x
    x = 10,311,024,702,877,734,912/1,494,634,901.50
  6. Step 6: Final answer
    x = 6,898,691,240.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.