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Finding the Third Proportional to 20,908 and 45,081

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Solution

The third proportional to 20,908 and 45,081 is: 97,201.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,908 : 45,081 = 45,081 : x
  2. Step 2: Convert to fraction form
    20,908/45,081 = 45,081/x
  3. Step 3: Cross multiply
    20,908x = 45,081 × 45,081
  4. Step 4: Simplify right side
    20,908x = 2,032,296,561
  5. Step 5: Solve for x
    x = 2,032,296,561/20,908
  6. Step 6: Final answer
    x = 97,201.86

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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.