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Finding the Third Proportional to 359,292,280.50 and 779,567,517

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Solution

The third proportional to 359,292,280.50 and 779,567,517 is: 1,691,451,630.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,292,280.50 : 779,567,517 = 779,567,517 : x
  2. Step 2: Convert to fraction form
    359,292,280.50/779,567,517 = 779,567,517/x
  3. Step 3: Cross multiply
    359,292,280.50x = 779,567,517 × 779,567,517
  4. Step 4: Simplify right side
    359,292,280.50x = 607,725,513,561,545,344
  5. Step 5: Solve for x
    x = 607,725,513,561,545,344/359,292,280.50
  6. Step 6: Final answer
    x = 1,691,451,630.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.