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Finding the Third Proportional to 4,113 and 8,873

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Solution

The third proportional to 4,113 and 8,873 is: 19,141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113 : 8,873 = 8,873 : x
  2. Step 2: Convert to fraction form
    4,113/8,873 = 8,873/x
  3. Step 3: Cross multiply
    4,113x = 8,873 × 8,873
  4. Step 4: Simplify right side
    4,113x = 78,730,129
  5. Step 5: Solve for x
    x = 78,730,129/4,113
  6. Step 6: Final answer
    x = 19,141.78

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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.