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Finding the Third Proportional to 9.57 and 16.97

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Solution

The third proportional to 9.57 and 16.97 is: 30.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.57 : 16.97 = 16.97 : x
  2. Step 2: Convert to fraction form
    9.57/16.97 = 16.97/x
  3. Step 3: Cross multiply
    9.57x = 16.97 × 16.97
  4. Step 4: Simplify right side
    9.57x = 288.06
  5. Step 5: Solve for x
    x = 288.06/9.57
  6. Step 6: Final answer
    x = 30.11

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.