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Finding the Third Proportional to 12,861 and 27,258.75

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Solution

The third proportional to 12,861 and 27,258.75 is: 57,774.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861 : 27,258.75 = 27,258.75 : x
  2. Step 2: Convert to fraction form
    12,861/27,258.75 = 27,258.75/x
  3. Step 3: Cross multiply
    12,861x = 27,258.75 × 27,258.75
  4. Step 4: Simplify right side
    12,861x = 743,039,451.56
  5. Step 5: Solve for x
    x = 743,039,451.56/12,861
  6. Step 6: Final answer
    x = 57,774.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.