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Finding the Third Proportional to 40.86 and 85.68

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Solution

The third proportional to 40.86 and 85.68 is: 179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.86 : 85.68 = 85.68 : x
  2. Step 2: Convert to fraction form
    40.86/85.68 = 85.68/x
  3. Step 3: Cross multiply
    40.86x = 85.68 × 85.68
  4. Step 4: Simplify right side
    40.86x = 7,340.87
  5. Step 5: Solve for x
    x = 7,340.87/40.86
  6. Step 6: Final answer
    x = 179.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.