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Finding the Third Proportional to 180,279 and 280,251

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Solution

The third proportional to 180,279 and 280,251 is: 435,661.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,279 : 280,251 = 280,251 : x
  2. Step 2: Convert to fraction form
    180,279/280,251 = 280,251/x
  3. Step 3: Cross multiply
    180,279x = 280,251 × 280,251
  4. Step 4: Simplify right side
    180,279x = 78,540,623,001
  5. Step 5: Solve for x
    x = 78,540,623,001/180,279
  6. Step 6: Final answer
    x = 435,661.52

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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.