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Finding the Third Proportional to 778.50 and 893.25

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Solution

The third proportional to 778.50 and 893.25 is: 1,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.50 : 893.25 = 893.25 : x
  2. Step 2: Convert to fraction form
    778.50/893.25 = 893.25/x
  3. Step 3: Cross multiply
    778.50x = 893.25 × 893.25
  4. Step 4: Simplify right side
    778.50x = 797,895.56
  5. Step 5: Solve for x
    x = 797,895.56/778.50
  6. Step 6: Final answer
    x = 1,024.91

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.