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Finding the Third Proportional to 180,580 and 280,001

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Solution

The third proportional to 180,580 and 280,001 is: 434,159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,580 : 280,001 = 280,001 : x
  2. Step 2: Convert to fraction form
    180,580/280,001 = 280,001/x
  3. Step 3: Cross multiply
    180,580x = 280,001 × 280,001
  4. Step 4: Simplify right side
    180,580x = 78,400,560,001
  5. Step 5: Solve for x
    x = 78,400,560,001/180,580
  6. Step 6: Final answer
    x = 434,159.71

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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.