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Finding the Third Proportional to 20.25 and 31.01

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Solution

The third proportional to 20.25 and 31.01 is: 47.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.25 : 31.01 = 31.01 : x
  2. Step 2: Convert to fraction form
    20.25/31.01 = 31.01/x
  3. Step 3: Cross multiply
    20.25x = 31.01 × 31.01
  4. Step 4: Simplify right side
    20.25x = 961.48
  5. Step 5: Solve for x
    x = 961.48/20.25
  6. Step 6: Final answer
    x = 47.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.