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Finding the Third Proportional to 189,947 and 281,992

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Solution

The third proportional to 189,947 and 281,992 is: 418,640.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,947 : 281,992 = 281,992 : x
  2. Step 2: Convert to fraction form
    189,947/281,992 = 281,992/x
  3. Step 3: Cross multiply
    189,947x = 281,992 × 281,992
  4. Step 4: Simplify right side
    189,947x = 79,519,488,064
  5. Step 5: Solve for x
    x = 79,519,488,064/189,947
  6. Step 6: Final answer
    x = 418,640.40

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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.