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Finding the Third Proportional to 7.89 and 17.08

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Solution

The third proportional to 7.89 and 17.08 is: 36.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.89 : 17.08 = 17.08 : x
  2. Step 2: Convert to fraction form
    7.89/17.08 = 17.08/x
  3. Step 3: Cross multiply
    7.89x = 17.08 × 17.08
  4. Step 4: Simplify right side
    7.89x = 291.57
  5. Step 5: Solve for x
    x = 291.57/7.89
  6. Step 6: Final answer
    x = 36.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.