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Finding the Third Proportional to 107,703 and 178,879

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Solution

The third proportional to 107,703 and 178,879 is: 297,091.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,703 : 178,879 = 178,879 : x
  2. Step 2: Convert to fraction form
    107,703/178,879 = 178,879/x
  3. Step 3: Cross multiply
    107,703x = 178,879 × 178,879
  4. Step 4: Simplify right side
    107,703x = 31,997,696,641
  5. Step 5: Solve for x
    x = 31,997,696,641/107,703
  6. Step 6: Final answer
    x = 297,091.97

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.