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Finding the Third Proportional to 288,482 and 629,452

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Solution

The third proportional to 288,482 and 629,452 is: 1,373,429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,482 : 629,452 = 629,452 : x
  2. Step 2: Convert to fraction form
    288,482/629,452 = 629,452/x
  3. Step 3: Cross multiply
    288,482x = 629,452 × 629,452
  4. Step 4: Simplify right side
    288,482x = 396,209,820,304
  5. Step 5: Solve for x
    x = 396,209,820,304/288,482
  6. Step 6: Final answer
    x = 1,373,429.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.