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Finding the Third Proportional to 123,331 and 256,381

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Solution

The third proportional to 123,331 and 256,381 is: 532,965.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,331 : 256,381 = 256,381 : x
  2. Step 2: Convert to fraction form
    123,331/256,381 = 256,381/x
  3. Step 3: Cross multiply
    123,331x = 256,381 × 256,381
  4. Step 4: Simplify right side
    123,331x = 65,731,217,161
  5. Step 5: Solve for x
    x = 65,731,217,161/123,331
  6. Step 6: Final answer
    x = 532,965.90

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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.