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Finding the Third Proportional to 121,804 and 265,741

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Solution

The third proportional to 121,804 and 265,741 is: 579,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,804 : 265,741 = 265,741 : x
  2. Step 2: Convert to fraction form
    121,804/265,741 = 265,741/x
  3. Step 3: Cross multiply
    121,804x = 265,741 × 265,741
  4. Step 4: Simplify right side
    121,804x = 70,618,279,081
  5. Step 5: Solve for x
    x = 70,618,279,081/121,804
  6. Step 6: Final answer
    x = 579,769.79

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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.