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Finding the Third Proportional to 260,739 and 538,229.81

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Solution

The third proportional to 260,739 and 538,229.81 is: 1,111,039.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,739 : 538,229.81 = 538,229.81 : x
  2. Step 2: Convert to fraction form
    260,739/538,229.81 = 538,229.81/x
  3. Step 3: Cross multiply
    260,739x = 538,229.81 × 538,229.81
  4. Step 4: Simplify right side
    260,739x = 289,691,331,063.79
  5. Step 5: Solve for x
    x = 289,691,331,063.79/260,739
  6. Step 6: Final answer
    x = 1,111,039.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.