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Finding the Third Proportional to 126,138 and 195,327

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Solution

The third proportional to 126,138 and 195,327 is: 302,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,138 : 195,327 = 195,327 : x
  2. Step 2: Convert to fraction form
    126,138/195,327 = 195,327/x
  3. Step 3: Cross multiply
    126,138x = 195,327 × 195,327
  4. Step 4: Simplify right side
    126,138x = 38,152,636,929
  5. Step 5: Solve for x
    x = 38,152,636,929/126,138
  6. Step 6: Final answer
    x = 302,467.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.