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Finding the Third Proportional to 126,784 and 177,242

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Solution

The third proportional to 126,784 and 177,242 is: 247,781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,784 : 177,242 = 177,242 : x
  2. Step 2: Convert to fraction form
    126,784/177,242 = 177,242/x
  3. Step 3: Cross multiply
    126,784x = 177,242 × 177,242
  4. Step 4: Simplify right side
    126,784x = 31,414,726,564
  5. Step 5: Solve for x
    x = 31,414,726,564/126,784
  6. Step 6: Final answer
    x = 247,781.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.