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Finding the Third Proportional to 83,110 and 171,121

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Solution

The third proportional to 83,110 and 171,121 is: 352,333.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,110 : 171,121 = 171,121 : x
  2. Step 2: Convert to fraction form
    83,110/171,121 = 171,121/x
  3. Step 3: Cross multiply
    83,110x = 171,121 × 171,121
  4. Step 4: Simplify right side
    83,110x = 29,282,396,641
  5. Step 5: Solve for x
    x = 29,282,396,641/83,110
  6. Step 6: Final answer
    x = 352,333.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.