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Finding the Third Proportional to 394,482 and 862,620

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Solution

The third proportional to 394,482 and 862,620 is: 1,886,304.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,482 : 862,620 = 862,620 : x
  2. Step 2: Convert to fraction form
    394,482/862,620 = 862,620/x
  3. Step 3: Cross multiply
    394,482x = 862,620 × 862,620
  4. Step 4: Simplify right side
    394,482x = 744,113,264,400
  5. Step 5: Solve for x
    x = 744,113,264,400/394,482
  6. Step 6: Final answer
    x = 1,886,304.73

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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.