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Finding the Third Proportional to 129.50 and 140.88

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Solution

The third proportional to 129.50 and 140.88 is: 153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.50 : 140.88 = 140.88 : x
  2. Step 2: Convert to fraction form
    129.50/140.88 = 140.88/x
  3. Step 3: Cross multiply
    129.50x = 140.88 × 140.88
  4. Step 4: Simplify right side
    129.50x = 19,845.77
  5. Step 5: Solve for x
    x = 19,845.77/129.50
  6. Step 6: Final answer
    x = 153.25

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.