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Finding the Third Proportional to 81,117 and 178,029

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Solution

The third proportional to 81,117 and 178,029 is: 390,723.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,117 : 178,029 = 178,029 : x
  2. Step 2: Convert to fraction form
    81,117/178,029 = 178,029/x
  3. Step 3: Cross multiply
    81,117x = 178,029 × 178,029
  4. Step 4: Simplify right side
    81,117x = 31,694,324,841
  5. Step 5: Solve for x
    x = 31,694,324,841/81,117
  6. Step 6: Final answer
    x = 390,723.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.