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Finding the Third Proportional to 5.91 and 8.65

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Solution

The third proportional to 5.91 and 8.65 is: 12.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.91 : 8.65 = 8.65 : x
  2. Step 2: Convert to fraction form
    5.91/8.65 = 8.65/x
  3. Step 3: Cross multiply
    5.91x = 8.65 × 8.65
  4. Step 4: Simplify right side
    5.91x = 74.80
  5. Step 5: Solve for x
    x = 74.80/5.91
  6. Step 6: Final answer
    x = 12.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.