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Finding the Third Proportional to 40.13 and 82.31

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Solution

The third proportional to 40.13 and 82.31 is: 168.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.13 : 82.31 = 82.31 : x
  2. Step 2: Convert to fraction form
    40.13/82.31 = 82.31/x
  3. Step 3: Cross multiply
    40.13x = 82.31 × 82.31
  4. Step 4: Simplify right side
    40.13x = 6,775.35
  5. Step 5: Solve for x
    x = 6,775.35/40.13
  6. Step 6: Final answer
    x = 168.86

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.