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Finding the Third Proportional to 122,384 and 178,878

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Solution

The third proportional to 122,384 and 178,878 is: 261,450.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,384 : 178,878 = 178,878 : x
  2. Step 2: Convert to fraction form
    122,384/178,878 = 178,878/x
  3. Step 3: Cross multiply
    122,384x = 178,878 × 178,878
  4. Step 4: Simplify right side
    122,384x = 31,997,338,884
  5. Step 5: Solve for x
    x = 31,997,338,884/122,384
  6. Step 6: Final answer
    x = 261,450.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.