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Finding the Third Proportional to 263,203.50 and 423,876

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Solution

The third proportional to 263,203.50 and 423,876 is: 682,630.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,203.50 : 423,876 = 423,876 : x
  2. Step 2: Convert to fraction form
    263,203.50/423,876 = 423,876/x
  3. Step 3: Cross multiply
    263,203.50x = 423,876 × 423,876
  4. Step 4: Simplify right side
    263,203.50x = 179,670,863,376
  5. Step 5: Solve for x
    x = 179,670,863,376/263,203.50
  6. Step 6: Final answer
    x = 682,630.98

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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.