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Finding the Third Proportional to 311,832 and 502,200

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Solution

The third proportional to 311,832 and 502,200 is: 808,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,832 : 502,200 = 502,200 : x
  2. Step 2: Convert to fraction form
    311,832/502,200 = 502,200/x
  3. Step 3: Cross multiply
    311,832x = 502,200 × 502,200
  4. Step 4: Simplify right side
    311,832x = 252,204,840,000
  5. Step 5: Solve for x
    x = 252,204,840,000/311,832
  6. Step 6: Final answer
    x = 808,784.35

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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.