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Finding the Third Proportional to 20.38 and 36.06

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Solution

The third proportional to 20.38 and 36.06 is: 63.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.38 : 36.06 = 36.06 : x
  2. Step 2: Convert to fraction form
    20.38/36.06 = 36.06/x
  3. Step 3: Cross multiply
    20.38x = 36.06 × 36.06
  4. Step 4: Simplify right side
    20.38x = 1,300.50
  5. Step 5: Solve for x
    x = 1,300.50/20.38
  6. Step 6: Final answer
    x = 63.83

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.