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Finding the Third Proportional to 89,121 and 121,067

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Solution

The third proportional to 89,121 and 121,067 is: 164,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,121 : 121,067 = 121,067 : x
  2. Step 2: Convert to fraction form
    89,121/121,067 = 121,067/x
  3. Step 3: Cross multiply
    89,121x = 121,067 × 121,067
  4. Step 4: Simplify right side
    89,121x = 14,657,218,489
  5. Step 5: Solve for x
    x = 14,657,218,489/89,121
  6. Step 6: Final answer
    x = 164,464.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.