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Finding the Third Proportional to 12,802 and 26,218

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Solution

The third proportional to 12,802 and 26,218 is: 53,693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802 : 26,218 = 26,218 : x
  2. Step 2: Convert to fraction form
    12,802/26,218 = 26,218/x
  3. Step 3: Cross multiply
    12,802x = 26,218 × 26,218
  4. Step 4: Simplify right side
    12,802x = 687,383,524
  5. Step 5: Solve for x
    x = 687,383,524/12,802
  6. Step 6: Final answer
    x = 53,693.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.