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Finding the Third Proportional to 12,279 and 26,159

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Solution

The third proportional to 12,279 and 26,159 is: 55,728.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,279 : 26,159 = 26,159 : x
  2. Step 2: Convert to fraction form
    12,279/26,159 = 26,159/x
  3. Step 3: Cross multiply
    12,279x = 26,159 × 26,159
  4. Step 4: Simplify right side
    12,279x = 684,293,281
  5. Step 5: Solve for x
    x = 684,293,281/12,279
  6. Step 6: Final answer
    x = 55,728.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.