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Finding the Third Proportional to 778.69 and 1,673.06

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Solution

The third proportional to 778.69 and 1,673.06 is: 3,594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.69 : 1,673.06 = 1,673.06 : x
  2. Step 2: Convert to fraction form
    778.69/1,673.06 = 1,673.06/x
  3. Step 3: Cross multiply
    778.69x = 1,673.06 × 1,673.06
  4. Step 4: Simplify right side
    778.69x = 2,799,138.13
  5. Step 5: Solve for x
    x = 2,799,138.13/778.69
  6. Step 6: Final answer
    x = 3,594.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.