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Finding the Third Proportional to 31.75 and 66.31

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Solution

The third proportional to 31.75 and 66.31 is: 138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.75 : 66.31 = 66.31 : x
  2. Step 2: Convert to fraction form
    31.75/66.31 = 66.31/x
  3. Step 3: Cross multiply
    31.75x = 66.31 × 66.31
  4. Step 4: Simplify right side
    31.75x = 4,397.35
  5. Step 5: Solve for x
    x = 4,397.35/31.75
  6. Step 6: Final answer
    x = 138.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.