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Finding the Third Proportional to 31.13 and 66.69

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Solution

The third proportional to 31.13 and 66.69 is: 142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.13 : 66.69 = 66.69 : x
  2. Step 2: Convert to fraction form
    31.13/66.69 = 66.69/x
  3. Step 3: Cross multiply
    31.13x = 66.69 × 66.69
  4. Step 4: Simplify right side
    31.13x = 4,447.22
  5. Step 5: Solve for x
    x = 4,447.22/31.13
  6. Step 6: Final answer
    x = 142.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.