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Finding the Third Proportional to 83,471 and 129,257

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Solution

The third proportional to 83,471 and 129,257 is: 200,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,471 : 129,257 = 129,257 : x
  2. Step 2: Convert to fraction form
    83,471/129,257 = 129,257/x
  3. Step 3: Cross multiply
    83,471x = 129,257 × 129,257
  4. Step 4: Simplify right side
    83,471x = 16,707,372,049
  5. Step 5: Solve for x
    x = 16,707,372,049/83,471
  6. Step 6: Final answer
    x = 200,157.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.