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Finding the Third Proportional to 40,182 and 87,411

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Solution

The third proportional to 40,182 and 87,411 is: 190,151.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,182 : 87,411 = 87,411 : x
  2. Step 2: Convert to fraction form
    40,182/87,411 = 87,411/x
  3. Step 3: Cross multiply
    40,182x = 87,411 × 87,411
  4. Step 4: Simplify right side
    40,182x = 7,640,682,921
  5. Step 5: Solve for x
    x = 7,640,682,921/40,182
  6. Step 6: Final answer
    x = 190,151.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.