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Finding the Third Proportional to 135,831 and 289,182

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Solution

The third proportional to 135,831 and 289,182 is: 615,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,831 : 289,182 = 289,182 : x
  2. Step 2: Convert to fraction form
    135,831/289,182 = 289,182/x
  3. Step 3: Cross multiply
    135,831x = 289,182 × 289,182
  4. Step 4: Simplify right side
    135,831x = 83,626,229,124
  5. Step 5: Solve for x
    x = 83,626,229,124/135,831
  6. Step 6: Final answer
    x = 615,663.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.