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Finding the Third Proportional to 778.48 and 1,535.33

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Solution

The third proportional to 778.48 and 1,535.33 is: 3,028.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.48 : 1,535.33 = 1,535.33 : x
  2. Step 2: Convert to fraction form
    778.48/1,535.33 = 1,535.33/x
  3. Step 3: Cross multiply
    778.48x = 1,535.33 × 1,535.33
  4. Step 4: Simplify right side
    778.48x = 2,357,243.32
  5. Step 5: Solve for x
    x = 2,357,243.32/778.48
  6. Step 6: Final answer
    x = 3,028.02

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.