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Finding the Third Proportional to 39,424 and 57,981

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Solution

The third proportional to 39,424 and 57,981 is: 85,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,424 : 57,981 = 57,981 : x
  2. Step 2: Convert to fraction form
    39,424/57,981 = 57,981/x
  3. Step 3: Cross multiply
    39,424x = 57,981 × 57,981
  4. Step 4: Simplify right side
    39,424x = 3,361,796,361
  5. Step 5: Solve for x
    x = 3,361,796,361/39,424
  6. Step 6: Final answer
    x = 85,272.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.