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Finding the Third Proportional to 87,769.50 and 192,207

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Solution

The third proportional to 87,769.50 and 192,207 is: 420,915.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,769.50 : 192,207 = 192,207 : x
  2. Step 2: Convert to fraction form
    87,769.50/192,207 = 192,207/x
  3. Step 3: Cross multiply
    87,769.50x = 192,207 × 192,207
  4. Step 4: Simplify right side
    87,769.50x = 36,943,530,849
  5. Step 5: Solve for x
    x = 36,943,530,849/87,769.50
  6. Step 6: Final answer
    x = 420,915.36

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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.