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Finding the Third Proportional to 87,773 and 192,214

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Solution

The third proportional to 87,773 and 192,214 is: 420,929.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,773 : 192,214 = 192,214 : x
  2. Step 2: Convert to fraction form
    87,773/192,214 = 192,214/x
  3. Step 3: Cross multiply
    87,773x = 192,214 × 192,214
  4. Step 4: Simplify right side
    87,773x = 36,946,221,796
  5. Step 5: Solve for x
    x = 36,946,221,796/87,773
  6. Step 6: Final answer
    x = 420,929.24

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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.