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Finding the Third Proportional to 189,918 and 281,949

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Solution

The third proportional to 189,918 and 281,949 is: 418,576.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,918 : 281,949 = 281,949 : x
  2. Step 2: Convert to fraction form
    189,918/281,949 = 281,949/x
  3. Step 3: Cross multiply
    189,918x = 281,949 × 281,949
  4. Step 4: Simplify right side
    189,918x = 79,495,238,601
  5. Step 5: Solve for x
    x = 79,495,238,601/189,918
  6. Step 6: Final answer
    x = 418,576.64

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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.