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Finding the Third Proportional to 77,728 and 166,122

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Solution

The third proportional to 77,728 and 166,122 is: 355,039.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,728 : 166,122 = 166,122 : x
  2. Step 2: Convert to fraction form
    77,728/166,122 = 166,122/x
  3. Step 3: Cross multiply
    77,728x = 166,122 × 166,122
  4. Step 4: Simplify right side
    77,728x = 27,596,518,884
  5. Step 5: Solve for x
    x = 27,596,518,884/77,728
  6. Step 6: Final answer
    x = 355,039.61

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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.