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Finding the Third Proportional to 346,487,782 and 770,444,450

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Solution

The third proportional to 346,487,782 and 770,444,450 is: 1,713,147,422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,487,782 : 770,444,450 = 770,444,450 : x
  2. Step 2: Convert to fraction form
    346,487,782/770,444,450 = 770,444,450/x
  3. Step 3: Cross multiply
    346,487,782x = 770,444,450 × 770,444,450
  4. Step 4: Simplify right side
    346,487,782x = 593,584,650,535,802,496
  5. Step 5: Solve for x
    x = 593,584,650,535,802,496/346,487,782
  6. Step 6: Final answer
    x = 1,713,147,422.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.