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Finding the Third Proportional to 12,144.75 and 18,305.25

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Solution

The third proportional to 12,144.75 and 18,305.25 is: 27,590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.75 : 18,305.25 = 18,305.25 : x
  2. Step 2: Convert to fraction form
    12,144.75/18,305.25 = 18,305.25/x
  3. Step 3: Cross multiply
    12,144.75x = 18,305.25 × 18,305.25
  4. Step 4: Simplify right side
    12,144.75x = 335,082,177.56
  5. Step 5: Solve for x
    x = 335,082,177.56/12,144.75
  6. Step 6: Final answer
    x = 27,590.70

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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.