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Finding the Third Proportional to 189,936 and 281,976

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Solution

The third proportional to 189,936 and 281,976 is: 418,617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,936 : 281,976 = 281,976 : x
  2. Step 2: Convert to fraction form
    189,936/281,976 = 281,976/x
  3. Step 3: Cross multiply
    189,936x = 281,976 × 281,976
  4. Step 4: Simplify right side
    189,936x = 79,510,464,576
  5. Step 5: Solve for x
    x = 79,510,464,576/189,936
  6. Step 6: Final answer
    x = 418,617.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.