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Finding the Third Proportional to 129.57 and 207.52

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Solution

The third proportional to 129.57 and 207.52 is: 332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.57 : 207.52 = 207.52 : x
  2. Step 2: Convert to fraction form
    129.57/207.52 = 207.52/x
  3. Step 3: Cross multiply
    129.57x = 207.52 × 207.52
  4. Step 4: Simplify right side
    129.57x = 43,065.77
  5. Step 5: Solve for x
    x = 43,065.77/129.57
  6. Step 6: Final answer
    x = 332.38

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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.