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Finding the Third Proportional to 15.42 and 20.24

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Solution

The third proportional to 15.42 and 20.24 is: 26.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.42 : 20.24 = 20.24 : x
  2. Step 2: Convert to fraction form
    15.42/20.24 = 20.24/x
  3. Step 3: Cross multiply
    15.42x = 20.24 × 20.24
  4. Step 4: Simplify right side
    15.42x = 409.55
  5. Step 5: Solve for x
    x = 409.55/15.42
  6. Step 6: Final answer
    x = 26.56

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.