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Finding the Third Proportional to 218,877 and 479,275

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Solution

The third proportional to 218,877 and 479,275 is: 1,049,468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,877 : 479,275 = 479,275 : x
  2. Step 2: Convert to fraction form
    218,877/479,275 = 479,275/x
  3. Step 3: Cross multiply
    218,877x = 479,275 × 479,275
  4. Step 4: Simplify right side
    218,877x = 229,704,525,625
  5. Step 5: Solve for x
    x = 229,704,525,625/218,877
  6. Step 6: Final answer
    x = 1,049,468.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.