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Finding the Third Proportional to 87,808 and 192,288

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Solution

The third proportional to 87,808 and 192,288 is: 421,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,808 : 192,288 = 192,288 : x
  2. Step 2: Convert to fraction form
    87,808/192,288 = 192,288/x
  3. Step 3: Cross multiply
    87,808x = 192,288 × 192,288
  4. Step 4: Simplify right side
    87,808x = 36,974,674,944
  5. Step 5: Solve for x
    x = 36,974,674,944/87,808
  6. Step 6: Final answer
    x = 421,085.49

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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.