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Finding the Third Proportional to 373.03 and 819.09

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Solution

The third proportional to 373.03 and 819.09 is: 1,798.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.03 : 819.09 = 819.09 : x
  2. Step 2: Convert to fraction form
    373.03/819.09 = 819.09/x
  3. Step 3: Cross multiply
    373.03x = 819.09 × 819.09
  4. Step 4: Simplify right side
    373.03x = 670,914.57
  5. Step 5: Solve for x
    x = 670,914.57/373.03
  6. Step 6: Final answer
    x = 1,798.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.