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Finding the Third Proportional to 511.10 and 778.68

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Solution

The third proportional to 511.10 and 778.68 is: 1,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.10 : 778.68 = 778.68 : x
  2. Step 2: Convert to fraction form
    511.10/778.68 = 778.68/x
  3. Step 3: Cross multiply
    511.10x = 778.68 × 778.68
  4. Step 4: Simplify right side
    511.10x = 606,335.97
  5. Step 5: Solve for x
    x = 606,335.97/511.10
  6. Step 6: Final answer
    x = 1,186.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.