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Finding the Third Proportional to 143,208 and 221,292

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Solution

The third proportional to 143,208 and 221,292 is: 341,951.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,208 : 221,292 = 221,292 : x
  2. Step 2: Convert to fraction form
    143,208/221,292 = 221,292/x
  3. Step 3: Cross multiply
    143,208x = 221,292 × 221,292
  4. Step 4: Simplify right side
    143,208x = 48,970,149,264
  5. Step 5: Solve for x
    x = 48,970,149,264/143,208
  6. Step 6: Final answer
    x = 341,951.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.