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Finding the Third Proportional to 819.56 and 1,216.97

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Solution

The third proportional to 819.56 and 1,216.97 is: 1,807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.56 : 1,216.97 = 1,216.97 : x
  2. Step 2: Convert to fraction form
    819.56/1,216.97 = 1,216.97/x
  3. Step 3: Cross multiply
    819.56x = 1,216.97 × 1,216.97
  4. Step 4: Simplify right side
    819.56x = 1,481,012.94
  5. Step 5: Solve for x
    x = 1,481,012.94/819.56
  6. Step 6: Final answer
    x = 1,807.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.