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Finding the Third Proportional to 83,109 and 171,119

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Solution

The third proportional to 83,109 and 171,119 is: 352,329.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,109 : 171,119 = 171,119 : x
  2. Step 2: Convert to fraction form
    83,109/171,119 = 171,119/x
  3. Step 3: Cross multiply
    83,109x = 171,119 × 171,119
  4. Step 4: Simplify right side
    83,109x = 29,281,712,161
  5. Step 5: Solve for x
    x = 29,281,712,161/83,109
  6. Step 6: Final answer
    x = 352,329.02

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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.