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Finding the Third Proportional to 138,330 and 281,728

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Solution

The third proportional to 138,330 and 281,728 is: 573,777.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,330 : 281,728 = 281,728 : x
  2. Step 2: Convert to fraction form
    138,330/281,728 = 281,728/x
  3. Step 3: Cross multiply
    138,330x = 281,728 × 281,728
  4. Step 4: Simplify right side
    138,330x = 79,370,665,984
  5. Step 5: Solve for x
    x = 79,370,665,984/138,330
  6. Step 6: Final answer
    x = 573,777.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.