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Finding the Third Proportional to 113,667 and 177,918

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Solution

The third proportional to 113,667 and 177,918 is: 278,487.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,667 : 177,918 = 177,918 : x
  2. Step 2: Convert to fraction form
    113,667/177,918 = 177,918/x
  3. Step 3: Cross multiply
    113,667x = 177,918 × 177,918
  4. Step 4: Simplify right side
    113,667x = 31,654,814,724
  5. Step 5: Solve for x
    x = 31,654,814,724/113,667
  6. Step 6: Final answer
    x = 278,487.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.