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Finding the Third Proportional to 121,251 and 263,486

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Solution

The third proportional to 121,251 and 263,486 is: 572,571.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,251 : 263,486 = 263,486 : x
  2. Step 2: Convert to fraction form
    121,251/263,486 = 263,486/x
  3. Step 3: Cross multiply
    121,251x = 263,486 × 263,486
  4. Step 4: Simplify right side
    121,251x = 69,424,872,196
  5. Step 5: Solve for x
    x = 69,424,872,196/121,251
  6. Step 6: Final answer
    x = 572,571.54

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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.