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Finding the Third Proportional to 39,082 and 85,520

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Solution

The third proportional to 39,082 and 85,520 is: 187,136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,082 : 85,520 = 85,520 : x
  2. Step 2: Convert to fraction form
    39,082/85,520 = 85,520/x
  3. Step 3: Cross multiply
    39,082x = 85,520 × 85,520
  4. Step 4: Simplify right side
    39,082x = 7,313,670,400
  5. Step 5: Solve for x
    x = 7,313,670,400/39,082
  6. Step 6: Final answer
    x = 187,136.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.