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Finding the Third Proportional to 3,132.56 and 3,923.44

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Solution

The third proportional to 3,132.56 and 3,923.44 is: 4,913.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.56 : 3,923.44 = 3,923.44 : x
  2. Step 2: Convert to fraction form
    3,132.56/3,923.44 = 3,923.44/x
  3. Step 3: Cross multiply
    3,132.56x = 3,923.44 × 3,923.44
  4. Step 4: Simplify right side
    3,132.56x = 15,393,361.82
  5. Step 5: Solve for x
    x = 15,393,361.82/3,132.56
  6. Step 6: Final answer
    x = 4,913.98

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.