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Finding the Third Proportional to 8,115.75 and 20,468.25

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Solution

The third proportional to 8,115.75 and 20,468.25 is: 51,621.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.75 : 20,468.25 = 20,468.25 : x
  2. Step 2: Convert to fraction form
    8,115.75/20,468.25 = 20,468.25/x
  3. Step 3: Cross multiply
    8,115.75x = 20,468.25 × 20,468.25
  4. Step 4: Simplify right side
    8,115.75x = 418,949,258.06
  5. Step 5: Solve for x
    x = 418,949,258.06/8,115.75
  6. Step 6: Final answer
    x = 51,621.75

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Why These Related Problems?

These problems maintain the same ratio (2.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.