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Finding the Third Proportional to 69,755,909 and 150,172,642

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Solution

The third proportional to 69,755,909 and 150,172,642 is: 323,296,230.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,755,909 : 150,172,642 = 150,172,642 : x
  2. Step 2: Convert to fraction form
    69,755,909/150,172,642 = 150,172,642/x
  3. Step 3: Cross multiply
    69,755,909x = 150,172,642 × 150,172,642
  4. Step 4: Simplify right side
    69,755,909x = 22,551,822,405,260,164
  5. Step 5: Solve for x
    x = 22,551,822,405,260,164/69,755,909
  6. Step 6: Final answer
    x = 323,296,230.08

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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.