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Finding the Third Proportional to 9.01 and 12.91

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Solution

The third proportional to 9.01 and 12.91 is: 18.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.01 : 12.91 = 12.91 : x
  2. Step 2: Convert to fraction form
    9.01/12.91 = 12.91/x
  3. Step 3: Cross multiply
    9.01x = 12.91 × 12.91
  4. Step 4: Simplify right side
    9.01x = 166.79
  5. Step 5: Solve for x
    x = 166.79/9.01
  6. Step 6: Final answer
    x = 18.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.