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Finding the Third Proportional to 129,872 and 207,475

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Solution

The third proportional to 129,872 and 207,475 is: 331,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,872 : 207,475 = 207,475 : x
  2. Step 2: Convert to fraction form
    129,872/207,475 = 207,475/x
  3. Step 3: Cross multiply
    129,872x = 207,475 × 207,475
  4. Step 4: Simplify right side
    129,872x = 43,045,875,625
  5. Step 5: Solve for x
    x = 43,045,875,625/129,872
  6. Step 6: Final answer
    x = 331,448.47

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.