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Finding the Third Proportional to 180,586 and 280,006

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Solution

The third proportional to 180,586 and 280,006 is: 434,160.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,586 : 280,006 = 280,006 : x
  2. Step 2: Convert to fraction form
    180,586/280,006 = 280,006/x
  3. Step 3: Cross multiply
    180,586x = 280,006 × 280,006
  4. Step 4: Simplify right side
    180,586x = 78,403,360,036
  5. Step 5: Solve for x
    x = 78,403,360,036/180,586
  6. Step 6: Final answer
    x = 434,160.79

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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.