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Finding the Third Proportional to 15.82 and 24.57

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Solution

The third proportional to 15.82 and 24.57 is: 38.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.82 : 24.57 = 24.57 : x
  2. Step 2: Convert to fraction form
    15.82/24.57 = 24.57/x
  3. Step 3: Cross multiply
    15.82x = 24.57 × 24.57
  4. Step 4: Simplify right side
    15.82x = 603.89
  5. Step 5: Solve for x
    x = 603.89/15.82
  6. Step 6: Final answer
    x = 38.17

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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.