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Finding the Third Proportional to 151,949 and 330,655

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Solution

The third proportional to 151,949 and 330,655 is: 719,535.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,949 : 330,655 = 330,655 : x
  2. Step 2: Convert to fraction form
    151,949/330,655 = 330,655/x
  3. Step 3: Cross multiply
    151,949x = 330,655 × 330,655
  4. Step 4: Simplify right side
    151,949x = 109,332,729,025
  5. Step 5: Solve for x
    x = 109,332,729,025/151,949
  6. Step 6: Final answer
    x = 719,535.69

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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.