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Finding the Third Proportional to 3,844.76 and 6,023.32

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Solution

The third proportional to 3,844.76 and 6,023.32 is: 9,436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.76 : 6,023.32 = 6,023.32 : x
  2. Step 2: Convert to fraction form
    3,844.76/6,023.32 = 6,023.32/x
  3. Step 3: Cross multiply
    3,844.76x = 6,023.32 × 6,023.32
  4. Step 4: Simplify right side
    3,844.76x = 36,280,387.59
  5. Step 5: Solve for x
    x = 36,280,387.59/3,844.76
  6. Step 6: Final answer
    x = 9,436.33

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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.