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Finding the Third Proportional to 819.75 and 1,151.88

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Solution

The third proportional to 819.75 and 1,151.88 is: 1,618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.75 : 1,151.88 = 1,151.88 : x
  2. Step 2: Convert to fraction form
    819.75/1,151.88 = 1,151.88/x
  3. Step 3: Cross multiply
    819.75x = 1,151.88 × 1,151.88
  4. Step 4: Simplify right side
    819.75x = 1,326,816.02
  5. Step 5: Solve for x
    x = 1,326,816.02/819.75
  6. Step 6: Final answer
    x = 1,618.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.