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Finding the Third Proportional to 78,375 and 166,734

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Solution

The third proportional to 78,375 and 166,734 is: 354,707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,375 : 166,734 = 166,734 : x
  2. Step 2: Convert to fraction form
    78,375/166,734 = 166,734/x
  3. Step 3: Cross multiply
    78,375x = 166,734 × 166,734
  4. Step 4: Simplify right side
    78,375x = 27,800,226,756
  5. Step 5: Solve for x
    x = 27,800,226,756/78,375
  6. Step 6: Final answer
    x = 354,707.84

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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.