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Finding the Third Proportional to 281,728.13 and 422,511.19

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Solution

The third proportional to 281,728.13 and 422,511.19 is: 633,645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,728.13 : 422,511.19 = 422,511.19 : x
  2. Step 2: Convert to fraction form
    281,728.13/422,511.19 = 422,511.19/x
  3. Step 3: Cross multiply
    281,728.13x = 422,511.19 × 422,511.19
  4. Step 4: Simplify right side
    281,728.13x = 178,515,703,562.66
  5. Step 5: Solve for x
    x = 178,515,703,562.66/281,728.13
  6. Step 6: Final answer
    x = 633,645.30

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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.