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Finding the Third Proportional to 61,561 and 132,842

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Solution

The third proportional to 61,561 and 132,842 is: 286,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,561 : 132,842 = 132,842 : x
  2. Step 2: Convert to fraction form
    61,561/132,842 = 132,842/x
  3. Step 3: Cross multiply
    61,561x = 132,842 × 132,842
  4. Step 4: Simplify right side
    61,561x = 17,646,996,964
  5. Step 5: Solve for x
    x = 17,646,996,964/61,561
  6. Step 6: Final answer
    x = 286,658.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.