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Finding the Third Proportional to 78,471 and 117,882

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Solution

The third proportional to 78,471 and 117,882 is: 177,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,471 : 117,882 = 117,882 : x
  2. Step 2: Convert to fraction form
    78,471/117,882 = 117,882/x
  3. Step 3: Cross multiply
    78,471x = 117,882 × 117,882
  4. Step 4: Simplify right side
    78,471x = 13,896,165,924
  5. Step 5: Solve for x
    x = 13,896,165,924/78,471
  6. Step 6: Final answer
    x = 177,086.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.