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Finding the Third Proportional to 225,909 and 338,890.50

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Solution

The third proportional to 225,909 and 338,890.50 is: 508,376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,909 : 338,890.50 = 338,890.50 : x
  2. Step 2: Convert to fraction form
    225,909/338,890.50 = 338,890.50/x
  3. Step 3: Cross multiply
    225,909x = 338,890.50 × 338,890.50
  4. Step 4: Simplify right side
    225,909x = 114,846,770,990.25
  5. Step 5: Solve for x
    x = 114,846,770,990.25/225,909
  6. Step 6: Final answer
    x = 508,376.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.