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Finding the Third Proportional to 263,281.50 and 396,780

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Solution

The third proportional to 263,281.50 and 396,780 is: 597,969.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,281.50 : 396,780 = 396,780 : x
  2. Step 2: Convert to fraction form
    263,281.50/396,780 = 396,780/x
  3. Step 3: Cross multiply
    263,281.50x = 396,780 × 396,780
  4. Step 4: Simplify right side
    263,281.50x = 157,434,368,400
  5. Step 5: Solve for x
    x = 157,434,368,400/263,281.50
  6. Step 6: Final answer
    x = 597,969.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.