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Finding the Third Proportional to 122,821 and 254,874

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Solution

The third proportional to 122,821 and 254,874 is: 528,905.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,821 : 254,874 = 254,874 : x
  2. Step 2: Convert to fraction form
    122,821/254,874 = 254,874/x
  3. Step 3: Cross multiply
    122,821x = 254,874 × 254,874
  4. Step 4: Simplify right side
    122,821x = 64,960,755,876
  5. Step 5: Solve for x
    x = 64,960,755,876/122,821
  6. Step 6: Final answer
    x = 528,905.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.