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Finding the Third Proportional to 16.31 and 20.72

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Solution

The third proportional to 16.31 and 20.72 is: 26.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.31 : 20.72 = 20.72 : x
  2. Step 2: Convert to fraction form
    16.31/20.72 = 20.72/x
  3. Step 3: Cross multiply
    16.31x = 20.72 × 20.72
  4. Step 4: Simplify right side
    16.31x = 429.27
  5. Step 5: Solve for x
    x = 429.27/16.31
  6. Step 6: Final answer
    x = 26.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.