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Finding the Third Proportional to 15.66 and 24.21

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Solution

The third proportional to 15.66 and 24.21 is: 37.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.66 : 24.21 = 24.21 : x
  2. Step 2: Convert to fraction form
    15.66/24.21 = 24.21/x
  3. Step 3: Cross multiply
    15.66x = 24.21 × 24.21
  4. Step 4: Simplify right side
    15.66x = 585.89
  5. Step 5: Solve for x
    x = 585.89/15.66
  6. Step 6: Final answer
    x = 37.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.