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Finding the Third Proportional to 118,722 and 255,876

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Solution

The third proportional to 118,722 and 255,876 is: 551,477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,722 : 255,876 = 255,876 : x
  2. Step 2: Convert to fraction form
    118,722/255,876 = 255,876/x
  3. Step 3: Cross multiply
    118,722x = 255,876 × 255,876
  4. Step 4: Simplify right side
    118,722x = 65,472,527,376
  5. Step 5: Solve for x
    x = 65,472,527,376/118,722
  6. Step 6: Final answer
    x = 551,477.63

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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.