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Finding the Third Proportional to 209,878 and 236,122

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Solution

The third proportional to 209,878 and 236,122 is: 265,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,878 : 236,122 = 236,122 : x
  2. Step 2: Convert to fraction form
    209,878/236,122 = 236,122/x
  3. Step 3: Cross multiply
    209,878x = 236,122 × 236,122
  4. Step 4: Simplify right side
    209,878x = 55,753,598,884
  5. Step 5: Solve for x
    x = 55,753,598,884/209,878
  6. Step 6: Final answer
    x = 265,647.66

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.