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Finding the Third Proportional to 87,850 and 212,320

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Solution

The third proportional to 87,850 and 212,320 is: 513,144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,850 : 212,320 = 212,320 : x
  2. Step 2: Convert to fraction form
    87,850/212,320 = 212,320/x
  3. Step 3: Cross multiply
    87,850x = 212,320 × 212,320
  4. Step 4: Simplify right side
    87,850x = 45,079,782,400
  5. Step 5: Solve for x
    x = 45,079,782,400/87,850
  6. Step 6: Final answer
    x = 513,144.93

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.