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Finding the Third Proportional to 483.50 and 778.44

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Solution

The third proportional to 483.50 and 778.44 is: 1,253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.50 : 778.44 = 778.44 : x
  2. Step 2: Convert to fraction form
    483.50/778.44 = 778.44/x
  3. Step 3: Cross multiply
    483.50x = 778.44 × 778.44
  4. Step 4: Simplify right side
    483.50x = 605,964.94
  5. Step 5: Solve for x
    x = 605,964.94/483.50
  6. Step 6: Final answer
    x = 1,253.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.