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Finding the Third Proportional to 120,892 and 263,292

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Solution

The third proportional to 120,892 and 263,292 is: 573,426.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,892 : 263,292 = 263,292 : x
  2. Step 2: Convert to fraction form
    120,892/263,292 = 263,292/x
  3. Step 3: Cross multiply
    120,892x = 263,292 × 263,292
  4. Step 4: Simplify right side
    120,892x = 69,322,677,264
  5. Step 5: Solve for x
    x = 69,322,677,264/120,892
  6. Step 6: Final answer
    x = 573,426.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.