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Finding the Third Proportional to 180,760 and 280,228

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Solution

The third proportional to 180,760 and 280,228 is: 434,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,760 : 280,228 = 280,228 : x
  2. Step 2: Convert to fraction form
    180,760/280,228 = 280,228/x
  3. Step 3: Cross multiply
    180,760x = 280,228 × 280,228
  4. Step 4: Simplify right side
    180,760x = 78,527,731,984
  5. Step 5: Solve for x
    x = 78,527,731,984/180,760
  6. Step 6: Final answer
    x = 434,430.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.