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Finding the Third Proportional to 9.98 and 12.87

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Solution

The third proportional to 9.98 and 12.87 is: 16.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.98 : 12.87 = 12.87 : x
  2. Step 2: Convert to fraction form
    9.98/12.87 = 12.87/x
  3. Step 3: Cross multiply
    9.98x = 12.87 × 12.87
  4. Step 4: Simplify right side
    9.98x = 165.61
  5. Step 5: Solve for x
    x = 165.61/9.98
  6. Step 6: Final answer
    x = 16.59

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.