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Finding the Third Proportional to 64,400 and 140,241

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Solution

The third proportional to 64,400 and 140,241 is: 305,396.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,400 : 140,241 = 140,241 : x
  2. Step 2: Convert to fraction form
    64,400/140,241 = 140,241/x
  3. Step 3: Cross multiply
    64,400x = 140,241 × 140,241
  4. Step 4: Simplify right side
    64,400x = 19,667,538,081
  5. Step 5: Solve for x
    x = 19,667,538,081/64,400
  6. Step 6: Final answer
    x = 305,396.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.