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Finding the Third Proportional to 57,680 and 125,728

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Solution

The third proportional to 57,680 and 125,728 is: 274,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,680 : 125,728 = 125,728 : x
  2. Step 2: Convert to fraction form
    57,680/125,728 = 125,728/x
  3. Step 3: Cross multiply
    57,680x = 125,728 × 125,728
  4. Step 4: Simplify right side
    57,680x = 15,807,529,984
  5. Step 5: Solve for x
    x = 15,807,529,984/57,680
  6. Step 6: Final answer
    x = 274,055.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.