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Finding the Third Proportional to 311,069 and 687,802

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Solution

The third proportional to 311,069 and 687,802 is: 1,520,793.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,069 : 687,802 = 687,802 : x
  2. Step 2: Convert to fraction form
    311,069/687,802 = 687,802/x
  3. Step 3: Cross multiply
    311,069x = 687,802 × 687,802
  4. Step 4: Simplify right side
    311,069x = 473,071,591,204
  5. Step 5: Solve for x
    x = 473,071,591,204/311,069
  6. Step 6: Final answer
    x = 1,520,793.11

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.