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Finding the Third Proportional to 180,520 and 270,394

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Solution

The third proportional to 180,520 and 270,394 is: 405,012.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,520 : 270,394 = 270,394 : x
  2. Step 2: Convert to fraction form
    180,520/270,394 = 270,394/x
  3. Step 3: Cross multiply
    180,520x = 270,394 × 270,394
  4. Step 4: Simplify right side
    180,520x = 73,112,915,236
  5. Step 5: Solve for x
    x = 73,112,915,236/180,520
  6. Step 6: Final answer
    x = 405,012.83

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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.