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Finding the Third Proportional to 69,538,689 and 151,184,306.25

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Solution

The third proportional to 69,538,689 and 151,184,306.25 is: 328,690,327.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,538,689 : 151,184,306.25 = 151,184,306.25 : x
  2. Step 2: Convert to fraction form
    69,538,689/151,184,306.25 = 151,184,306.25/x
  3. Step 3: Cross multiply
    69,538,689x = 151,184,306.25 × 151,184,306.25
  4. Step 4: Simplify right side
    69,538,689x = 22,856,694,456,293,788
  5. Step 5: Solve for x
    x = 22,856,694,456,293,788/69,538,689
  6. Step 6: Final answer
    x = 328,690,327.43

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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.