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Finding the Third Proportional to 263,209.50 and 407,187

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Solution

The third proportional to 263,209.50 and 407,187 is: 629,921.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,209.50 : 407,187 = 407,187 : x
  2. Step 2: Convert to fraction form
    263,209.50/407,187 = 407,187/x
  3. Step 3: Cross multiply
    263,209.50x = 407,187 × 407,187
  4. Step 4: Simplify right side
    263,209.50x = 165,801,252,969
  5. Step 5: Solve for x
    x = 165,801,252,969/263,209.50
  6. Step 6: Final answer
    x = 629,921.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.