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Finding the Third Proportional to 61,929 and 86,169.38

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Solution

The third proportional to 61,929 and 86,169.38 is: 119,897.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,929 : 86,169.38 = 86,169.38 : x
  2. Step 2: Convert to fraction form
    61,929/86,169.38 = 86,169.38/x
  3. Step 3: Cross multiply
    61,929x = 86,169.38 × 86,169.38
  4. Step 4: Simplify right side
    61,929x = 7,425,161,187.89
  5. Step 5: Solve for x
    x = 7,425,161,187.89/61,929
  6. Step 6: Final answer
    x = 119,897.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.