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Finding the Third Proportional to 129,408 and 206,595

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Solution

The third proportional to 129,408 and 206,595 is: 329,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,408 : 206,595 = 206,595 : x
  2. Step 2: Convert to fraction form
    129,408/206,595 = 206,595/x
  3. Step 3: Cross multiply
    129,408x = 206,595 × 206,595
  4. Step 4: Simplify right side
    129,408x = 42,681,494,025
  5. Step 5: Solve for x
    x = 42,681,494,025/129,408
  6. Step 6: Final answer
    x = 329,821.14

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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.