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Finding the Third Proportional to 40.69 and 85.19

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Solution

The third proportional to 40.69 and 85.19 is: 178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.69 : 85.19 = 85.19 : x
  2. Step 2: Convert to fraction form
    40.69/85.19 = 85.19/x
  3. Step 3: Cross multiply
    40.69x = 85.19 × 85.19
  4. Step 4: Simplify right side
    40.69x = 7,256.91
  5. Step 5: Solve for x
    x = 7,256.91/40.69
  6. Step 6: Final answer
    x = 178.36

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.