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Finding the Third Proportional to 408,244.50 and 853,668

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Solution

The third proportional to 408,244.50 and 853,668 is: 1,785,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,244.50 : 853,668 = 853,668 : x
  2. Step 2: Convert to fraction form
    408,244.50/853,668 = 853,668/x
  3. Step 3: Cross multiply
    408,244.50x = 853,668 × 853,668
  4. Step 4: Simplify right side
    408,244.50x = 728,749,054,224
  5. Step 5: Solve for x
    x = 728,749,054,224/408,244.50
  6. Step 6: Final answer
    x = 1,785,079.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.