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Finding the Third Proportional to 422,914.50 and 952,290

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Solution

The third proportional to 422,914.50 and 952,290 is: 2,144,301.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,914.50 : 952,290 = 952,290 : x
  2. Step 2: Convert to fraction form
    422,914.50/952,290 = 952,290/x
  3. Step 3: Cross multiply
    422,914.50x = 952,290 × 952,290
  4. Step 4: Simplify right side
    422,914.50x = 906,856,244,100
  5. Step 5: Solve for x
    x = 906,856,244,100/422,914.50
  6. Step 6: Final answer
    x = 2,144,301.61

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.