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Finding the Third Proportional to 78,291 and 166,302

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Solution

The third proportional to 78,291 and 166,302 is: 353,250.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,291 : 166,302 = 166,302 : x
  2. Step 2: Convert to fraction form
    78,291/166,302 = 166,302/x
  3. Step 3: Cross multiply
    78,291x = 166,302 × 166,302
  4. Step 4: Simplify right side
    78,291x = 27,656,355,204
  5. Step 5: Solve for x
    x = 27,656,355,204/78,291
  6. Step 6: Final answer
    x = 353,250.76

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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.