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Finding the Third Proportional to 121,482 and 255,249

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Solution

The third proportional to 121,482 and 255,249 is: 536,310.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,482 : 255,249 = 255,249 : x
  2. Step 2: Convert to fraction form
    121,482/255,249 = 255,249/x
  3. Step 3: Cross multiply
    121,482x = 255,249 × 255,249
  4. Step 4: Simplify right side
    121,482x = 65,152,052,001
  5. Step 5: Solve for x
    x = 65,152,052,001/121,482
  6. Step 6: Final answer
    x = 536,310.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.