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Finding the Third Proportional to 57,613,449 and 86,422,015

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Solution

The third proportional to 57,613,449 and 86,422,015 is: 129,635,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,613,449 : 86,422,015 = 86,422,015 : x
  2. Step 2: Convert to fraction form
    57,613,449/86,422,015 = 86,422,015/x
  3. Step 3: Cross multiply
    57,613,449x = 86,422,015 × 86,422,015
  4. Step 4: Simplify right side
    57,613,449x = 7,468,764,676,660,225
  5. Step 5: Solve for x
    x = 7,468,764,676,660,225/57,613,449
  6. Step 6: Final answer
    x = 129,635,784.81

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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.