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Finding the Third Proportional to 80,728 and 175,989

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Solution

The third proportional to 80,728 and 175,989 is: 383,660.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,728 : 175,989 = 175,989 : x
  2. Step 2: Convert to fraction form
    80,728/175,989 = 175,989/x
  3. Step 3: Cross multiply
    80,728x = 175,989 × 175,989
  4. Step 4: Simplify right side
    80,728x = 30,972,128,121
  5. Step 5: Solve for x
    x = 30,972,128,121/80,728
  6. Step 6: Final answer
    x = 383,660.29

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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.