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Finding the Third Proportional to 778.63 and 1,161.19

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Solution

The third proportional to 778.63 and 1,161.19 is: 1,731.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.63 : 1,161.19 = 1,161.19 : x
  2. Step 2: Convert to fraction form
    778.63/1,161.19 = 1,161.19/x
  3. Step 3: Cross multiply
    778.63x = 1,161.19 × 1,161.19
  4. Step 4: Simplify right side
    778.63x = 1,348,356.41
  5. Step 5: Solve for x
    x = 1,348,356.41/778.63
  6. Step 6: Final answer
    x = 1,731.71

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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.