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Finding the Third Proportional to 311,982 and 502,425

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Solution

The third proportional to 311,982 and 502,425 is: 809,120.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,982 : 502,425 = 502,425 : x
  2. Step 2: Convert to fraction form
    311,982/502,425 = 502,425/x
  3. Step 3: Cross multiply
    311,982x = 502,425 × 502,425
  4. Step 4: Simplify right side
    311,982x = 252,430,880,625
  5. Step 5: Solve for x
    x = 252,430,880,625/311,982
  6. Step 6: Final answer
    x = 809,120.02

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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.