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Finding the Third Proportional to 12,904 and 18,171.75

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Solution

The third proportional to 12,904 and 18,171.75 is: 25,589.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904 : 18,171.75 = 18,171.75 : x
  2. Step 2: Convert to fraction form
    12,904/18,171.75 = 18,171.75/x
  3. Step 3: Cross multiply
    12,904x = 18,171.75 × 18,171.75
  4. Step 4: Simplify right side
    12,904x = 330,212,498.06
  5. Step 5: Solve for x
    x = 330,212,498.06/12,904
  6. Step 6: Final answer
    x = 25,589.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.