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Finding the Third Proportional to 275,892 and 421,860

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Solution

The third proportional to 275,892 and 421,860 is: 645,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,892 : 421,860 = 421,860 : x
  2. Step 2: Convert to fraction form
    275,892/421,860 = 421,860/x
  3. Step 3: Cross multiply
    275,892x = 421,860 × 421,860
  4. Step 4: Simplify right side
    275,892x = 177,965,859,600
  5. Step 5: Solve for x
    x = 177,965,859,600/275,892
  6. Step 6: Final answer
    x = 645,056.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.