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Finding the Third Proportional to 311,825 and 502,190

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Solution

The third proportional to 311,825 and 502,190 is: 808,770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,825 : 502,190 = 502,190 : x
  2. Step 2: Convert to fraction form
    311,825/502,190 = 502,190/x
  3. Step 3: Cross multiply
    311,825x = 502,190 × 502,190
  4. Step 4: Simplify right side
    311,825x = 252,194,796,100
  5. Step 5: Solve for x
    x = 252,194,796,100/311,825
  6. Step 6: Final answer
    x = 808,770.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.