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Finding the Third Proportional to 39.09 and 92.04

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Solution

The third proportional to 39.09 and 92.04 is: 216.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.09 : 92.04 = 92.04 : x
  2. Step 2: Convert to fraction form
    39.09/92.04 = 92.04/x
  3. Step 3: Cross multiply
    39.09x = 92.04 × 92.04
  4. Step 4: Simplify right side
    39.09x = 8,471.19
  5. Step 5: Solve for x
    x = 8,471.19/39.09
  6. Step 6: Final answer
    x = 216.69

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.