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Finding the Third Proportional to 121,100 and 263,995

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Solution

The third proportional to 121,100 and 263,995 is: 575,502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,100 : 263,995 = 263,995 : x
  2. Step 2: Convert to fraction form
    121,100/263,995 = 263,995/x
  3. Step 3: Cross multiply
    121,100x = 263,995 × 263,995
  4. Step 4: Simplify right side
    121,100x = 69,693,360,025
  5. Step 5: Solve for x
    x = 69,693,360,025/121,100
  6. Step 6: Final answer
    x = 575,502.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.