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Finding the Third Proportional to 57,728 and 126,148

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Solution

The third proportional to 57,728 and 126,148 is: 275,660.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,728 : 126,148 = 126,148 : x
  2. Step 2: Convert to fraction form
    57,728/126,148 = 126,148/x
  3. Step 3: Cross multiply
    57,728x = 126,148 × 126,148
  4. Step 4: Simplify right side
    57,728x = 15,913,317,904
  5. Step 5: Solve for x
    x = 15,913,317,904/57,728
  6. Step 6: Final answer
    x = 275,660.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.