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Finding the Third Proportional to 186,930 and 280,338

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Solution

The third proportional to 186,930 and 280,338 is: 420,421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,930 : 280,338 = 280,338 : x
  2. Step 2: Convert to fraction form
    186,930/280,338 = 280,338/x
  3. Step 3: Cross multiply
    186,930x = 280,338 × 280,338
  4. Step 4: Simplify right side
    186,930x = 78,589,394,244
  5. Step 5: Solve for x
    x = 78,589,394,244/186,930
  6. Step 6: Final answer
    x = 420,421.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.