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Finding the Third Proportional to 298,576 and 656,192

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Solution

The third proportional to 298,576 and 656,192 is: 1,442,138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,576 : 656,192 = 656,192 : x
  2. Step 2: Convert to fraction form
    298,576/656,192 = 656,192/x
  3. Step 3: Cross multiply
    298,576x = 656,192 × 656,192
  4. Step 4: Simplify right side
    298,576x = 430,587,940,864
  5. Step 5: Solve for x
    x = 430,587,940,864/298,576
  6. Step 6: Final answer
    x = 1,442,138.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.