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Finding the Third Proportional to 8,878 and 20,908

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Solution

The third proportional to 8,878 and 20,908 is: 49,239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,878 : 20,908 = 20,908 : x
  2. Step 2: Convert to fraction form
    8,878/20,908 = 20,908/x
  3. Step 3: Cross multiply
    8,878x = 20,908 × 20,908
  4. Step 4: Simplify right side
    8,878x = 437,144,464
  5. Step 5: Solve for x
    x = 437,144,464/8,878
  6. Step 6: Final answer
    x = 49,239.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.