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Finding the Third Proportional to 31.48 and 66.76

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Solution

The third proportional to 31.48 and 66.76 is: 141.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.48 : 66.76 = 66.76 : x
  2. Step 2: Convert to fraction form
    31.48/66.76 = 66.76/x
  3. Step 3: Cross multiply
    31.48x = 66.76 × 66.76
  4. Step 4: Simplify right side
    31.48x = 4,457.13
  5. Step 5: Solve for x
    x = 4,457.13/31.48
  6. Step 6: Final answer
    x = 141.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.