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Finding the Third Proportional to 268,319 and 363,112

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Solution

The third proportional to 268,319 and 363,112 is: 491,393.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,319 : 363,112 = 363,112 : x
  2. Step 2: Convert to fraction form
    268,319/363,112 = 363,112/x
  3. Step 3: Cross multiply
    268,319x = 363,112 × 363,112
  4. Step 4: Simplify right side
    268,319x = 131,850,324,544
  5. Step 5: Solve for x
    x = 131,850,324,544/268,319
  6. Step 6: Final answer
    x = 491,393.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.