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Finding the Third Proportional to 39,474 and 87,257

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Solution

The third proportional to 39,474 and 87,257 is: 192,880.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,474 : 87,257 = 87,257 : x
  2. Step 2: Convert to fraction form
    39,474/87,257 = 87,257/x
  3. Step 3: Cross multiply
    39,474x = 87,257 × 87,257
  4. Step 4: Simplify right side
    39,474x = 7,613,784,049
  5. Step 5: Solve for x
    x = 7,613,784,049/39,474
  6. Step 6: Final answer
    x = 192,880.99

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.