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Finding the Third Proportional to 20.27 and 34.60

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Solution

The third proportional to 20.27 and 34.60 is: 59.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.27 : 34.60 = 34.60 : x
  2. Step 2: Convert to fraction form
    20.27/34.60 = 34.60/x
  3. Step 3: Cross multiply
    20.27x = 34.60 × 34.60
  4. Step 4: Simplify right side
    20.27x = 1,197.24
  5. Step 5: Solve for x
    x = 1,197.24/20.27
  6. Step 6: Final answer
    x = 59.08

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.