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Finding the Third Proportional to 40,534 and 87,124

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Solution

The third proportional to 40,534 and 87,124 is: 187,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,534 : 87,124 = 87,124 : x
  2. Step 2: Convert to fraction form
    40,534/87,124 = 87,124/x
  3. Step 3: Cross multiply
    40,534x = 87,124 × 87,124
  4. Step 4: Simplify right side
    40,534x = 7,590,591,376
  5. Step 5: Solve for x
    x = 7,590,591,376/40,534
  6. Step 6: Final answer
    x = 187,264.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.