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Finding the Third Proportional to 398,538 and 862,200

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Solution

The third proportional to 398,538 and 862,200 is: 1,865,289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,538 : 862,200 = 862,200 : x
  2. Step 2: Convert to fraction form
    398,538/862,200 = 862,200/x
  3. Step 3: Cross multiply
    398,538x = 862,200 × 862,200
  4. Step 4: Simplify right side
    398,538x = 743,388,840,000
  5. Step 5: Solve for x
    x = 743,388,840,000/398,538
  6. Step 6: Final answer
    x = 1,865,289.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.