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Finding the Third Proportional to 816.75 and 1,819.34

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Solution

The third proportional to 816.75 and 1,819.34 is: 4,052.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.75 : 1,819.34 = 1,819.34 : x
  2. Step 2: Convert to fraction form
    816.75/1,819.34 = 1,819.34/x
  3. Step 3: Cross multiply
    816.75x = 1,819.34 × 1,819.34
  4. Step 4: Simplify right side
    816.75x = 3,309,983.25
  5. Step 5: Solve for x
    x = 3,309,983.25/816.75
  6. Step 6: Final answer
    x = 4,052.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.