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Finding the Third Proportional to 15,957 and 34,981

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Solution

The third proportional to 15,957 and 34,981 is: 76,685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,957 : 34,981 = 34,981 : x
  2. Step 2: Convert to fraction form
    15,957/34,981 = 34,981/x
  3. Step 3: Cross multiply
    15,957x = 34,981 × 34,981
  4. Step 4: Simplify right side
    15,957x = 1,223,670,361
  5. Step 5: Solve for x
    x = 1,223,670,361/15,957
  6. Step 6: Final answer
    x = 76,685.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.