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Finding the Third Proportional to 121,244 and 248,496

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Solution

The third proportional to 121,244 and 248,496 is: 509,305.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,244 : 248,496 = 248,496 : x
  2. Step 2: Convert to fraction form
    121,244/248,496 = 248,496/x
  3. Step 3: Cross multiply
    121,244x = 248,496 × 248,496
  4. Step 4: Simplify right side
    121,244x = 61,750,262,016
  5. Step 5: Solve for x
    x = 61,750,262,016/121,244
  6. Step 6: Final answer
    x = 509,305.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.