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Finding the Third Proportional to 3,085.31 and 4,778.44

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Solution

The third proportional to 3,085.31 and 4,778.44 is: 7,400.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.31 : 4,778.44 = 4,778.44 : x
  2. Step 2: Convert to fraction form
    3,085.31/4,778.44 = 4,778.44/x
  3. Step 3: Cross multiply
    3,085.31x = 4,778.44 × 4,778.44
  4. Step 4: Simplify right side
    3,085.31x = 22,833,464.94
  5. Step 5: Solve for x
    x = 22,833,464.94/3,085.31
  6. Step 6: Final answer
    x = 7,400.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.