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Finding the Third Proportional to 180,706 and 279,251

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Solution

The third proportional to 180,706 and 279,251 is: 431,535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,706 : 279,251 = 279,251 : x
  2. Step 2: Convert to fraction form
    180,706/279,251 = 279,251/x
  3. Step 3: Cross multiply
    180,706x = 279,251 × 279,251
  4. Step 4: Simplify right side
    180,706x = 77,981,121,001
  5. Step 5: Solve for x
    x = 77,981,121,001/180,706
  6. Step 6: Final answer
    x = 431,535.87

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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.