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Finding the Third Proportional to 40,380 and 85,170

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Solution

The third proportional to 40,380 and 85,170 is: 179,641.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,380 : 85,170 = 85,170 : x
  2. Step 2: Convert to fraction form
    40,380/85,170 = 85,170/x
  3. Step 3: Cross multiply
    40,380x = 85,170 × 85,170
  4. Step 4: Simplify right side
    40,380x = 7,253,928,900
  5. Step 5: Solve for x
    x = 7,253,928,900/40,380
  6. Step 6: Final answer
    x = 179,641.63

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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.