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Finding the Third Proportional to 311,850 and 502,227

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Solution

The third proportional to 311,850 and 502,227 is: 808,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,850 : 502,227 = 502,227 : x
  2. Step 2: Convert to fraction form
    311,850/502,227 = 502,227/x
  3. Step 3: Cross multiply
    311,850x = 502,227 × 502,227
  4. Step 4: Simplify right side
    311,850x = 252,231,959,529
  5. Step 5: Solve for x
    x = 252,231,959,529/311,850
  6. Step 6: Final answer
    x = 808,824.63

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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.