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Finding the Third Proportional to 76,871 and 166,864

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Solution

The third proportional to 76,871 and 166,864 is: 362,211.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,871 : 166,864 = 166,864 : x
  2. Step 2: Convert to fraction form
    76,871/166,864 = 166,864/x
  3. Step 3: Cross multiply
    76,871x = 166,864 × 166,864
  4. Step 4: Simplify right side
    76,871x = 27,843,594,496
  5. Step 5: Solve for x
    x = 27,843,594,496/76,871
  6. Step 6: Final answer
    x = 362,211.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.