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Finding the Third Proportional to 311,337 and 684,882

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Solution

The third proportional to 311,337 and 684,882 is: 1,506,609.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,337 : 684,882 = 684,882 : x
  2. Step 2: Convert to fraction form
    311,337/684,882 = 684,882/x
  3. Step 3: Cross multiply
    311,337x = 684,882 × 684,882
  4. Step 4: Simplify right side
    311,337x = 469,063,353,924
  5. Step 5: Solve for x
    x = 469,063,353,924/311,337
  6. Step 6: Final answer
    x = 1,506,609.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.