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Finding the Third Proportional to 31.92 and 64.34

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Solution

The third proportional to 31.92 and 64.34 is: 129.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.92 : 64.34 = 64.34 : x
  2. Step 2: Convert to fraction form
    31.92/64.34 = 64.34/x
  3. Step 3: Cross multiply
    31.92x = 64.34 × 64.34
  4. Step 4: Simplify right side
    31.92x = 4,139.11
  5. Step 5: Solve for x
    x = 4,139.11/31.92
  6. Step 6: Final answer
    x = 129.66

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.