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Finding the Third Proportional to 118,719 and 252,881

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Solution

The third proportional to 118,719 and 252,881 is: 538,656.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,719 : 252,881 = 252,881 : x
  2. Step 2: Convert to fraction form
    118,719/252,881 = 252,881/x
  3. Step 3: Cross multiply
    118,719x = 252,881 × 252,881
  4. Step 4: Simplify right side
    118,719x = 63,948,800,161
  5. Step 5: Solve for x
    x = 63,948,800,161/118,719
  6. Step 6: Final answer
    x = 538,656.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.