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Finding the Third Proportional to 317,208.38 and 667,677.38

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Solution

The third proportional to 317,208.38 and 667,677.38 is: 1,405,363.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,208.38 : 667,677.38 = 667,677.38 : x
  2. Step 2: Convert to fraction form
    317,208.38/667,677.38 = 667,677.38/x
  3. Step 3: Cross multiply
    317,208.38x = 667,677.38 × 667,677.38
  4. Step 4: Simplify right side
    317,208.38x = 445,793,077,086.89
  5. Step 5: Solve for x
    x = 445,793,077,086.89/317,208.38
  6. Step 6: Final answer
    x = 1,405,363.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.