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Finding the Third Proportional to 8.50 and 15.91

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Solution

The third proportional to 8.50 and 15.91 is: 29.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.50 : 15.91 = 15.91 : x
  2. Step 2: Convert to fraction form
    8.50/15.91 = 15.91/x
  3. Step 3: Cross multiply
    8.50x = 15.91 × 15.91
  4. Step 4: Simplify right side
    8.50x = 253.10
  5. Step 5: Solve for x
    x = 253.10/8.50
  6. Step 6: Final answer
    x = 29.79

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.