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Finding the Third Proportional to 367,000 and 516,820

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Solution

The third proportional to 367,000 and 516,820 is: 727,800.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,000 : 516,820 = 516,820 : x
  2. Step 2: Convert to fraction form
    367,000/516,820 = 516,820/x
  3. Step 3: Cross multiply
    367,000x = 516,820 × 516,820
  4. Step 4: Simplify right side
    367,000x = 267,102,912,400
  5. Step 5: Solve for x
    x = 267,102,912,400/367,000
  6. Step 6: Final answer
    x = 727,800.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.