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Finding the Third Proportional to 356.80 and 778.48

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Solution

The third proportional to 356.80 and 778.48 is: 1,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.80 : 778.48 = 778.48 : x
  2. Step 2: Convert to fraction form
    356.80/778.48 = 778.48/x
  3. Step 3: Cross multiply
    356.80x = 778.48 × 778.48
  4. Step 4: Simplify right side
    356.80x = 606,028.04
  5. Step 5: Solve for x
    x = 606,028.04/356.80
  6. Step 6: Final answer
    x = 1,698.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.