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Finding the Third Proportional to 61,413 and 86,913

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Solution

The third proportional to 61,413 and 86,913 is: 123,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,413 : 86,913 = 86,913 : x
  2. Step 2: Convert to fraction form
    61,413/86,913 = 86,913/x
  3. Step 3: Cross multiply
    61,413x = 86,913 × 86,913
  4. Step 4: Simplify right side
    61,413x = 7,553,869,569
  5. Step 5: Solve for x
    x = 7,553,869,569/61,413
  6. Step 6: Final answer
    x = 123,001.15

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.