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Finding the Third Proportional to 83.32 and 129.62

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Solution

The third proportional to 83.32 and 129.62 is: 201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.32 : 129.62 = 129.62 : x
  2. Step 2: Convert to fraction form
    83.32/129.62 = 129.62/x
  3. Step 3: Cross multiply
    83.32x = 129.62 × 129.62
  4. Step 4: Simplify right side
    83.32x = 16,801.63
  5. Step 5: Solve for x
    x = 16,801.63/83.32
  6. Step 6: Final answer
    x = 201.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.