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Finding the Third Proportional to 311,750 and 469,731

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Solution

The third proportional to 311,750 and 469,731 is: 707,769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,750 : 469,731 = 469,731 : x
  2. Step 2: Convert to fraction form
    311,750/469,731 = 469,731/x
  3. Step 3: Cross multiply
    311,750x = 469,731 × 469,731
  4. Step 4: Simplify right side
    311,750x = 220,647,212,361
  5. Step 5: Solve for x
    x = 220,647,212,361/311,750
  6. Step 6: Final answer
    x = 707,769.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.