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Finding the Third Proportional to 312,180 and 663,234

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Solution

The third proportional to 312,180 and 663,234 is: 1,409,056.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,180 : 663,234 = 663,234 : x
  2. Step 2: Convert to fraction form
    312,180/663,234 = 663,234/x
  3. Step 3: Cross multiply
    312,180x = 663,234 × 663,234
  4. Step 4: Simplify right side
    312,180x = 439,879,338,756
  5. Step 5: Solve for x
    x = 439,879,338,756/312,180
  6. Step 6: Final answer
    x = 1,409,056.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.