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Finding the Third Proportional to 76,728 and 164,115

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Solution

The third proportional to 76,728 and 164,115 is: 351,028.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,728 : 164,115 = 164,115 : x
  2. Step 2: Convert to fraction form
    76,728/164,115 = 164,115/x
  3. Step 3: Cross multiply
    76,728x = 164,115 × 164,115
  4. Step 4: Simplify right side
    76,728x = 26,933,733,225
  5. Step 5: Solve for x
    x = 26,933,733,225/76,728
  6. Step 6: Final answer
    x = 351,028.74

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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.