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Finding the Third Proportional to 6,424 and 13,873

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Solution

The third proportional to 6,424 and 13,873 is: 29,959.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424 : 13,873 = 13,873 : x
  2. Step 2: Convert to fraction form
    6,424/13,873 = 13,873/x
  3. Step 3: Cross multiply
    6,424x = 13,873 × 13,873
  4. Step 4: Simplify right side
    6,424x = 192,460,129
  5. Step 5: Solve for x
    x = 192,460,129/6,424
  6. Step 6: Final answer
    x = 29,959.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.