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Finding the Third Proportional to 15.42 and 20.06

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Solution

The third proportional to 15.42 and 20.06 is: 26.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.42 : 20.06 = 20.06 : x
  2. Step 2: Convert to fraction form
    15.42/20.06 = 20.06/x
  3. Step 3: Cross multiply
    15.42x = 20.06 × 20.06
  4. Step 4: Simplify right side
    15.42x = 402.50
  5. Step 5: Solve for x
    x = 402.50/15.42
  6. Step 6: Final answer
    x = 26.10

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.