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Finding the Third Proportional to 29,757 and 61,981

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Solution

The third proportional to 29,757 and 61,981 is: 129,100.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,757 : 61,981 = 61,981 : x
  2. Step 2: Convert to fraction form
    29,757/61,981 = 61,981/x
  3. Step 3: Cross multiply
    29,757x = 61,981 × 61,981
  4. Step 4: Simplify right side
    29,757x = 3,841,644,361
  5. Step 5: Solve for x
    x = 3,841,644,361/29,757
  6. Step 6: Final answer
    x = 129,100.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.