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Finding the Third Proportional to 9.89 and 12.98

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Solution

The third proportional to 9.89 and 12.98 is: 17.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.89 : 12.98 = 12.98 : x
  2. Step 2: Convert to fraction form
    9.89/12.98 = 12.98/x
  3. Step 3: Cross multiply
    9.89x = 12.98 × 12.98
  4. Step 4: Simplify right side
    9.89x = 168.51
  5. Step 5: Solve for x
    x = 168.51/9.89
  6. Step 6: Final answer
    x = 17.03

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.