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Finding the Third Proportional to 12,878.50 and 26,873

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Solution

The third proportional to 12,878.50 and 26,873 is: 56,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.50 : 26,873 = 26,873 : x
  2. Step 2: Convert to fraction form
    12,878.50/26,873 = 26,873/x
  3. Step 3: Cross multiply
    12,878.50x = 26,873 × 26,873
  4. Step 4: Simplify right side
    12,878.50x = 722,158,129
  5. Step 5: Solve for x
    x = 722,158,129/12,878.50
  6. Step 6: Final answer
    x = 56,074.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.