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Finding the Third Proportional to 408,802,491 and 613,053,603

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Solution

The third proportional to 408,802,491 and 613,053,603 is: 919,355,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,802,491 : 613,053,603 = 613,053,603 : x
  2. Step 2: Convert to fraction form
    408,802,491/613,053,603 = 613,053,603/x
  3. Step 3: Cross multiply
    408,802,491x = 613,053,603 × 613,053,603
  4. Step 4: Simplify right side
    408,802,491x = 375,834,720,151,281,600
  5. Step 5: Solve for x
    x = 375,834,720,151,281,600/408,802,491
  6. Step 6: Final answer
    x = 919,355,259.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.