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Finding the Third Proportional to 311,952 and 502,380

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Solution

The third proportional to 311,952 and 502,380 is: 809,052.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,952 : 502,380 = 502,380 : x
  2. Step 2: Convert to fraction form
    311,952/502,380 = 502,380/x
  3. Step 3: Cross multiply
    311,952x = 502,380 × 502,380
  4. Step 4: Simplify right side
    311,952x = 252,385,664,400
  5. Step 5: Solve for x
    x = 252,385,664,400/311,952
  6. Step 6: Final answer
    x = 809,052.88

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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.