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Finding the Third Proportional to 11.80 and 15.62

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Solution

The third proportional to 11.80 and 15.62 is: 20.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.80 : 15.62 = 15.62 : x
  2. Step 2: Convert to fraction form
    11.80/15.62 = 15.62/x
  3. Step 3: Cross multiply
    11.80x = 15.62 × 15.62
  4. Step 4: Simplify right side
    11.80x = 244.06
  5. Step 5: Solve for x
    x = 244.06/11.80
  6. Step 6: Final answer
    x = 20.68

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.