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Finding the Third Proportional to 77,678 and 166,422

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Solution

The third proportional to 77,678 and 166,422 is: 356,552.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,678 : 166,422 = 166,422 : x
  2. Step 2: Convert to fraction form
    77,678/166,422 = 166,422/x
  3. Step 3: Cross multiply
    77,678x = 166,422 × 166,422
  4. Step 4: Simplify right side
    77,678x = 27,696,282,084
  5. Step 5: Solve for x
    x = 27,696,282,084/77,678
  6. Step 6: Final answer
    x = 356,552.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.