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Finding the Third Proportional to 9.18 and 18.04

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Solution

The third proportional to 9.18 and 18.04 is: 35.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.18 : 18.04 = 18.04 : x
  2. Step 2: Convert to fraction form
    9.18/18.04 = 18.04/x
  3. Step 3: Cross multiply
    9.18x = 18.04 × 18.04
  4. Step 4: Simplify right side
    9.18x = 325.27
  5. Step 5: Solve for x
    x = 325.27/9.18
  6. Step 6: Final answer
    x = 35.45

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.