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Finding the Third Proportional to 78,249 and 166,218

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Solution

The third proportional to 78,249 and 166,218 is: 353,083.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,249 : 166,218 = 166,218 : x
  2. Step 2: Convert to fraction form
    78,249/166,218 = 166,218/x
  3. Step 3: Cross multiply
    78,249x = 166,218 × 166,218
  4. Step 4: Simplify right side
    78,249x = 27,628,423,524
  5. Step 5: Solve for x
    x = 27,628,423,524/78,249
  6. Step 6: Final answer
    x = 353,083.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.