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Finding the Third Proportional to 119.50 and 129.25

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Solution

The third proportional to 119.50 and 129.25 is: 139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.50 : 129.25 = 129.25 : x
  2. Step 2: Convert to fraction form
    119.50/129.25 = 129.25/x
  3. Step 3: Cross multiply
    119.50x = 129.25 × 129.25
  4. Step 4: Simplify right side
    119.50x = 16,705.56
  5. Step 5: Solve for x
    x = 16,705.56/119.50
  6. Step 6: Final answer
    x = 139.80

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.