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Finding the Third Proportional to 138,256 and 296,192

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Solution

The third proportional to 138,256 and 296,192 is: 634,545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,256 : 296,192 = 296,192 : x
  2. Step 2: Convert to fraction form
    138,256/296,192 = 296,192/x
  3. Step 3: Cross multiply
    138,256x = 296,192 × 296,192
  4. Step 4: Simplify right side
    138,256x = 87,729,700,864
  5. Step 5: Solve for x
    x = 87,729,700,864/138,256
  6. Step 6: Final answer
    x = 634,545.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.