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Finding the Third Proportional to 311,762 and 753,809

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Solution

The third proportional to 311,762 and 753,809 is: 1,822,633.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,762 : 753,809 = 753,809 : x
  2. Step 2: Convert to fraction form
    311,762/753,809 = 753,809/x
  3. Step 3: Cross multiply
    311,762x = 753,809 × 753,809
  4. Step 4: Simplify right side
    311,762x = 568,228,008,481
  5. Step 5: Solve for x
    x = 568,228,008,481/311,762
  6. Step 6: Final answer
    x = 1,822,633.96

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.