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Finding the Third Proportional to 121,543 and 192,305

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Solution

The third proportional to 121,543 and 192,305 is: 304,264.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,543 : 192,305 = 192,305 : x
  2. Step 2: Convert to fraction form
    121,543/192,305 = 192,305/x
  3. Step 3: Cross multiply
    121,543x = 192,305 × 192,305
  4. Step 4: Simplify right side
    121,543x = 36,981,213,025
  5. Step 5: Solve for x
    x = 36,981,213,025/121,543
  6. Step 6: Final answer
    x = 304,264.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.