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Finding the Third Proportional to 27,881 and 42,561

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Solution

The third proportional to 27,881 and 42,561 is: 64,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,881 : 42,561 = 42,561 : x
  2. Step 2: Convert to fraction form
    27,881/42,561 = 42,561/x
  3. Step 3: Cross multiply
    27,881x = 42,561 × 42,561
  4. Step 4: Simplify right side
    27,881x = 1,811,438,721
  5. Step 5: Solve for x
    x = 1,811,438,721/27,881
  6. Step 6: Final answer
    x = 64,970.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.