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Finding the Third Proportional to 20.72 and 32.26

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Solution

The third proportional to 20.72 and 32.26 is: 50.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.72 : 32.26 = 32.26 : x
  2. Step 2: Convert to fraction form
    20.72/32.26 = 32.26/x
  3. Step 3: Cross multiply
    20.72x = 32.26 × 32.26
  4. Step 4: Simplify right side
    20.72x = 1,041.01
  5. Step 5: Solve for x
    x = 1,041.01/20.72
  6. Step 6: Final answer
    x = 50.23

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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.