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Finding the Third Proportional to 311,844 and 502,218

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Solution

The third proportional to 311,844 and 502,218 is: 808,811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,844 : 502,218 = 502,218 : x
  2. Step 2: Convert to fraction form
    311,844/502,218 = 502,218/x
  3. Step 3: Cross multiply
    311,844x = 502,218 × 502,218
  4. Step 4: Simplify right side
    311,844x = 252,222,919,524
  5. Step 5: Solve for x
    x = 252,222,919,524/311,844
  6. Step 6: Final answer
    x = 808,811.20

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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.