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Finding the Third Proportional to 78,308 and 166,876

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Solution

The third proportional to 78,308 and 166,876 is: 355,616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,308 : 166,876 = 166,876 : x
  2. Step 2: Convert to fraction form
    78,308/166,876 = 166,876/x
  3. Step 3: Cross multiply
    78,308x = 166,876 × 166,876
  4. Step 4: Simplify right side
    78,308x = 27,847,599,376
  5. Step 5: Solve for x
    x = 27,847,599,376/78,308
  6. Step 6: Final answer
    x = 355,616.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.