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Finding the Third Proportional to 189,930 and 281,967

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Solution

The third proportional to 189,930 and 281,967 is: 418,603.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,930 : 281,967 = 281,967 : x
  2. Step 2: Convert to fraction form
    189,930/281,967 = 281,967/x
  3. Step 3: Cross multiply
    189,930x = 281,967 × 281,967
  4. Step 4: Simplify right side
    189,930x = 79,505,389,089
  5. Step 5: Solve for x
    x = 79,505,389,089/189,930
  6. Step 6: Final answer
    x = 418,603.64

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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.