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Finding the Third Proportional to 9.16 and 18.80

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Solution

The third proportional to 9.16 and 18.80 is: 38.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.16 : 18.80 = 18.80 : x
  2. Step 2: Convert to fraction form
    9.16/18.80 = 18.80/x
  3. Step 3: Cross multiply
    9.16x = 18.80 × 18.80
  4. Step 4: Simplify right side
    9.16x = 353.50
  5. Step 5: Solve for x
    x = 353.50/9.16
  6. Step 6: Final answer
    x = 38.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.