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Finding the Third Proportional to 9.87 and 11.34

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Solution

The third proportional to 9.87 and 11.34 is: 13.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.87 : 11.34 = 11.34 : x
  2. Step 2: Convert to fraction form
    9.87/11.34 = 11.34/x
  3. Step 3: Cross multiply
    9.87x = 11.34 × 11.34
  4. Step 4: Simplify right side
    9.87x = 128.61
  5. Step 5: Solve for x
    x = 128.61/9.87
  6. Step 6: Final answer
    x = 13.02

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.