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Finding the Third Proportional to 11,502 and 26,879

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Solution

The third proportional to 11,502 and 26,879 is: 62,813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502 : 26,879 = 26,879 : x
  2. Step 2: Convert to fraction form
    11,502/26,879 = 26,879/x
  3. Step 3: Cross multiply
    11,502x = 26,879 × 26,879
  4. Step 4: Simplify right side
    11,502x = 722,480,641
  5. Step 5: Solve for x
    x = 722,480,641/11,502
  6. Step 6: Final answer
    x = 62,813.48

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.