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Finding the Third Proportional to 81,711 and 171,684

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Solution

The third proportional to 81,711 and 171,684 is: 360,727.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,711 : 171,684 = 171,684 : x
  2. Step 2: Convert to fraction form
    81,711/171,684 = 171,684/x
  3. Step 3: Cross multiply
    81,711x = 171,684 × 171,684
  4. Step 4: Simplify right side
    81,711x = 29,475,395,856
  5. Step 5: Solve for x
    x = 29,475,395,856/81,711
  6. Step 6: Final answer
    x = 360,727.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.