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Finding the Third Proportional to 121,236 and 263,208

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Solution

The third proportional to 121,236 and 263,208 is: 571,434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,236 : 263,208 = 263,208 : x
  2. Step 2: Convert to fraction form
    121,236/263,208 = 263,208/x
  3. Step 3: Cross multiply
    121,236x = 263,208 × 263,208
  4. Step 4: Simplify right side
    121,236x = 69,278,451,264
  5. Step 5: Solve for x
    x = 69,278,451,264/121,236
  6. Step 6: Final answer
    x = 571,434.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.