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Finding the Third Proportional to 40,378 and 85,166

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Solution

The third proportional to 40,378 and 85,166 is: 179,633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,378 : 85,166 = 85,166 : x
  2. Step 2: Convert to fraction form
    40,378/85,166 = 85,166/x
  3. Step 3: Cross multiply
    40,378x = 85,166 × 85,166
  4. Step 4: Simplify right side
    40,378x = 7,253,247,556
  5. Step 5: Solve for x
    x = 7,253,247,556/40,378
  6. Step 6: Final answer
    x = 179,633.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.