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Finding the Third Proportional to 10.20 and 15.91

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Solution

The third proportional to 10.20 and 15.91 is: 24.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.20 : 15.91 = 15.91 : x
  2. Step 2: Convert to fraction form
    10.20/15.91 = 15.91/x
  3. Step 3: Cross multiply
    10.20x = 15.91 × 15.91
  4. Step 4: Simplify right side
    10.20x = 253.26
  5. Step 5: Solve for x
    x = 253.26/10.20
  6. Step 6: Final answer
    x = 24.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.