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Finding the Third Proportional to 120,636 and 257,884

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Solution

The third proportional to 120,636 and 257,884 is: 551,279.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,636 : 257,884 = 257,884 : x
  2. Step 2: Convert to fraction form
    120,636/257,884 = 257,884/x
  3. Step 3: Cross multiply
    120,636x = 257,884 × 257,884
  4. Step 4: Simplify right side
    120,636x = 66,504,157,456
  5. Step 5: Solve for x
    x = 66,504,157,456/120,636
  6. Step 6: Final answer
    x = 551,279.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.