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Finding the Third Proportional to 311,980 and 502,422

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Solution

The third proportional to 311,980 and 502,422 is: 809,115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,980 : 502,422 = 502,422 : x
  2. Step 2: Convert to fraction form
    311,980/502,422 = 502,422/x
  3. Step 3: Cross multiply
    311,980x = 502,422 × 502,422
  4. Step 4: Simplify right side
    311,980x = 252,427,866,084
  5. Step 5: Solve for x
    x = 252,427,866,084/311,980
  6. Step 6: Final answer
    x = 809,115.54

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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.