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Finding the Third Proportional to 117,678 and 254,676

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Solution

The third proportional to 117,678 and 254,676 is: 551,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,678 : 254,676 = 254,676 : x
  2. Step 2: Convert to fraction form
    117,678/254,676 = 254,676/x
  3. Step 3: Cross multiply
    117,678x = 254,676 × 254,676
  4. Step 4: Simplify right side
    117,678x = 64,859,864,976
  5. Step 5: Solve for x
    x = 64,859,864,976/117,678
  6. Step 6: Final answer
    x = 551,163.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.