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Finding the Third Proportional to 118,235 and 178,751

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Solution

The third proportional to 118,235 and 178,751 is: 270,240.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,235 : 178,751 = 178,751 : x
  2. Step 2: Convert to fraction form
    118,235/178,751 = 178,751/x
  3. Step 3: Cross multiply
    118,235x = 178,751 × 178,751
  4. Step 4: Simplify right side
    118,235x = 31,951,920,001
  5. Step 5: Solve for x
    x = 31,951,920,001/118,235
  6. Step 6: Final answer
    x = 270,240.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.