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Finding the Third Proportional to 20.29 and 31.70

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Solution

The third proportional to 20.29 and 31.70 is: 49.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.29 : 31.70 = 31.70 : x
  2. Step 2: Convert to fraction form
    20.29/31.70 = 31.70/x
  3. Step 3: Cross multiply
    20.29x = 31.70 × 31.70
  4. Step 4: Simplify right side
    20.29x = 1,005.09
  5. Step 5: Solve for x
    x = 1,005.09/20.29
  6. Step 6: Final answer
    x = 49.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.