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Finding the Third Proportional to 87,776 and 192,208

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Solution

The third proportional to 87,776 and 192,208 is: 420,888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,776 : 192,208 = 192,208 : x
  2. Step 2: Convert to fraction form
    87,776/192,208 = 192,208/x
  3. Step 3: Cross multiply
    87,776x = 192,208 × 192,208
  4. Step 4: Simplify right side
    87,776x = 36,943,915,264
  5. Step 5: Solve for x
    x = 36,943,915,264/87,776
  6. Step 6: Final answer
    x = 420,888.57

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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.