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Finding the Third Proportional to 77,696 and 166,720

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Solution

The third proportional to 77,696 and 166,720 is: 357,747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,696 : 166,720 = 166,720 : x
  2. Step 2: Convert to fraction form
    77,696/166,720 = 166,720/x
  3. Step 3: Cross multiply
    77,696x = 166,720 × 166,720
  4. Step 4: Simplify right side
    77,696x = 27,795,558,400
  5. Step 5: Solve for x
    x = 27,795,558,400/77,696
  6. Step 6: Final answer
    x = 357,747.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.