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Finding the Third Proportional to 40,540 and 87,136

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Solution

The third proportional to 40,540 and 87,136 is: 187,288.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,540 : 87,136 = 87,136 : x
  2. Step 2: Convert to fraction form
    40,540/87,136 = 87,136/x
  3. Step 3: Cross multiply
    40,540x = 87,136 × 87,136
  4. Step 4: Simplify right side
    40,540x = 7,592,682,496
  5. Step 5: Solve for x
    x = 7,592,682,496/40,540
  6. Step 6: Final answer
    x = 187,288.67

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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.