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Finding the Third Proportional to 129,374 and 205,725

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Solution

The third proportional to 129,374 and 205,725 is: 327,135.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,374 : 205,725 = 205,725 : x
  2. Step 2: Convert to fraction form
    129,374/205,725 = 205,725/x
  3. Step 3: Cross multiply
    129,374x = 205,725 × 205,725
  4. Step 4: Simplify right side
    129,374x = 42,322,775,625
  5. Step 5: Solve for x
    x = 42,322,775,625/129,374
  6. Step 6: Final answer
    x = 327,135.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.