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Finding the Third Proportional to 819.72 and 1,235.79

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Solution

The third proportional to 819.72 and 1,235.79 is: 1,863.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.72 : 1,235.79 = 1,235.79 : x
  2. Step 2: Convert to fraction form
    819.72/1,235.79 = 1,235.79/x
  3. Step 3: Cross multiply
    819.72x = 1,235.79 × 1,235.79
  4. Step 4: Simplify right side
    819.72x = 1,527,186.37
  5. Step 5: Solve for x
    x = 1,527,186.37/819.72
  6. Step 6: Final answer
    x = 1,863.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.