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Finding the Third Proportional to 218,781 and 480,329

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Solution

The third proportional to 218,781 and 480,329 is: 1,054,552.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,781 : 480,329 = 480,329 : x
  2. Step 2: Convert to fraction form
    218,781/480,329 = 480,329/x
  3. Step 3: Cross multiply
    218,781x = 480,329 × 480,329
  4. Step 4: Simplify right side
    218,781x = 230,715,948,241
  5. Step 5: Solve for x
    x = 230,715,948,241/218,781
  6. Step 6: Final answer
    x = 1,054,552.03

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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.