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Finding the Third Proportional to 218,548 and 480,452

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Solution

The third proportional to 218,548 and 480,452 is: 1,056,217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,548 : 480,452 = 480,452 : x
  2. Step 2: Convert to fraction form
    218,548/480,452 = 480,452/x
  3. Step 3: Cross multiply
    218,548x = 480,452 × 480,452
  4. Step 4: Simplify right side
    218,548x = 230,834,124,304
  5. Step 5: Solve for x
    x = 230,834,124,304/218,548
  6. Step 6: Final answer
    x = 1,056,217.05

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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.