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Finding the Third Proportional to 5.65 and 13.27

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Solution

The third proportional to 5.65 and 13.27 is: 31.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.65 : 13.27 = 13.27 : x
  2. Step 2: Convert to fraction form
    5.65/13.27 = 13.27/x
  3. Step 3: Cross multiply
    5.65x = 13.27 × 13.27
  4. Step 4: Simplify right side
    5.65x = 176.13
  5. Step 5: Solve for x
    x = 176.13/5.65
  6. Step 6: Final answer
    x = 31.17

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.