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Finding the Third Proportional to 5.65 and 12.39

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Solution

The third proportional to 5.65 and 12.39 is: 27.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.65 : 12.39 = 12.39 : x
  2. Step 2: Convert to fraction form
    5.65/12.39 = 12.39/x
  3. Step 3: Cross multiply
    5.65x = 12.39 × 12.39
  4. Step 4: Simplify right side
    5.65x = 153.46
  5. Step 5: Solve for x
    x = 153.46/5.65
  6. Step 6: Final answer
    x = 27.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.