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Finding the Third Proportional to 40.76 and 85.79

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Solution

The third proportional to 40.76 and 85.79 is: 180.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.76 : 85.79 = 85.79 : x
  2. Step 2: Convert to fraction form
    40.76/85.79 = 85.79/x
  3. Step 3: Cross multiply
    40.76x = 85.79 × 85.79
  4. Step 4: Simplify right side
    40.76x = 7,360.43
  5. Step 5: Solve for x
    x = 7,360.43/40.76
  6. Step 6: Final answer
    x = 180.59

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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.