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Finding the Third Proportional to 819.75 and 1,217.63

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Solution

The third proportional to 819.75 and 1,217.63 is: 1,808.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.75 : 1,217.63 = 1,217.63 : x
  2. Step 2: Convert to fraction form
    819.75/1,217.63 = 1,217.63/x
  3. Step 3: Cross multiply
    819.75x = 1,217.63 × 1,217.63
  4. Step 4: Simplify right side
    819.75x = 1,482,610.64
  5. Step 5: Solve for x
    x = 1,482,610.64/819.75
  6. Step 6: Final answer
    x = 1,808.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.