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Finding the Third Proportional to 117,753 and 178,089

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Solution

The third proportional to 117,753 and 178,089 is: 269,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,753 : 178,089 = 178,089 : x
  2. Step 2: Convert to fraction form
    117,753/178,089 = 178,089/x
  3. Step 3: Cross multiply
    117,753x = 178,089 × 178,089
  4. Step 4: Simplify right side
    117,753x = 31,715,691,921
  5. Step 5: Solve for x
    x = 31,715,691,921/117,753
  6. Step 6: Final answer
    x = 269,340.84

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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.