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Finding the Third Proportional to 212,841 and 318,675

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Solution

The third proportional to 212,841 and 318,675 is: 477,134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,841 : 318,675 = 318,675 : x
  2. Step 2: Convert to fraction form
    212,841/318,675 = 318,675/x
  3. Step 3: Cross multiply
    212,841x = 318,675 × 318,675
  4. Step 4: Simplify right side
    212,841x = 101,553,755,625
  5. Step 5: Solve for x
    x = 101,553,755,625/212,841
  6. Step 6: Final answer
    x = 477,134.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.