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Finding the Third Proportional to 126,936 and 178,308

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Solution

The third proportional to 126,936 and 178,308 is: 250,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,936 : 178,308 = 178,308 : x
  2. Step 2: Convert to fraction form
    126,936/178,308 = 178,308/x
  3. Step 3: Cross multiply
    126,936x = 178,308 × 178,308
  4. Step 4: Simplify right side
    126,936x = 31,793,742,864
  5. Step 5: Solve for x
    x = 31,793,742,864/126,936
  6. Step 6: Final answer
    x = 250,470.65

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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.