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Finding the Third Proportional to 87,969 and 188,394

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Solution

The third proportional to 87,969 and 188,394 is: 403,463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,969 : 188,394 = 188,394 : x
  2. Step 2: Convert to fraction form
    87,969/188,394 = 188,394/x
  3. Step 3: Cross multiply
    87,969x = 188,394 × 188,394
  4. Step 4: Simplify right side
    87,969x = 35,492,299,236
  5. Step 5: Solve for x
    x = 35,492,299,236/87,969
  6. Step 6: Final answer
    x = 403,463.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.