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Finding the Third Proportional to 83,608 and 178,555

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Solution

The third proportional to 83,608 and 178,555 is: 381,325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,608 : 178,555 = 178,555 : x
  2. Step 2: Convert to fraction form
    83,608/178,555 = 178,555/x
  3. Step 3: Cross multiply
    83,608x = 178,555 × 178,555
  4. Step 4: Simplify right side
    83,608x = 31,881,888,025
  5. Step 5: Solve for x
    x = 31,881,888,025/83,608
  6. Step 6: Final answer
    x = 381,325.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.