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Finding the Third Proportional to 2,474.44 and 3,888.56

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Solution

The third proportional to 2,474.44 and 3,888.56 is: 6,110.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.44 : 3,888.56 = 3,888.56 : x
  2. Step 2: Convert to fraction form
    2,474.44/3,888.56 = 3,888.56/x
  3. Step 3: Cross multiply
    2,474.44x = 3,888.56 × 3,888.56
  4. Step 4: Simplify right side
    2,474.44x = 15,120,918.32
  5. Step 5: Solve for x
    x = 15,120,918.32/2,474.44
  6. Step 6: Final answer
    x = 6,110.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.