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Finding the Third Proportional to 218,279 and 468,451

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Solution

The third proportional to 218,279 and 468,451 is: 1,005,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,279 : 468,451 = 468,451 : x
  2. Step 2: Convert to fraction form
    218,279/468,451 = 468,451/x
  3. Step 3: Cross multiply
    218,279x = 468,451 × 468,451
  4. Step 4: Simplify right side
    218,279x = 219,446,339,401
  5. Step 5: Solve for x
    x = 219,446,339,401/218,279
  6. Step 6: Final answer
    x = 1,005,347.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.