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Finding the Third Proportional to 7.13 and 11.50

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Solution

The third proportional to 7.13 and 11.50 is: 18.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.13 : 11.50 = 11.50 : x
  2. Step 2: Convert to fraction form
    7.13/11.50 = 11.50/x
  3. Step 3: Cross multiply
    7.13x = 11.50 × 11.50
  4. Step 4: Simplify right side
    7.13x = 132.25
  5. Step 5: Solve for x
    x = 132.25/7.13
  6. Step 6: Final answer
    x = 18.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.