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Finding the Third Proportional to 6,138.12 and 9,258.44

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Solution

The third proportional to 6,138.12 and 9,258.44 is: 13,964.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.12 : 9,258.44 = 9,258.44 : x
  2. Step 2: Convert to fraction form
    6,138.12/9,258.44 = 9,258.44/x
  3. Step 3: Cross multiply
    6,138.12x = 9,258.44 × 9,258.44
  4. Step 4: Simplify right side
    6,138.12x = 85,718,755.36
  5. Step 5: Solve for x
    x = 85,718,755.36/6,138.12
  6. Step 6: Final answer
    x = 13,964.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.