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Finding the Third Proportional to 218,782 and 480,331

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Solution

The third proportional to 218,782 and 480,331 is: 1,054,555.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,782 : 480,331 = 480,331 : x
  2. Step 2: Convert to fraction form
    218,782/480,331 = 480,331/x
  3. Step 3: Cross multiply
    218,782x = 480,331 × 480,331
  4. Step 4: Simplify right side
    218,782x = 230,717,869,561
  5. Step 5: Solve for x
    x = 230,717,869,561/218,782
  6. Step 6: Final answer
    x = 1,054,555.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.