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Finding the Third Proportional to 243,069 and 367,960.50

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Solution

The third proportional to 243,069 and 367,960.50 is: 557,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,069 : 367,960.50 = 367,960.50 : x
  2. Step 2: Convert to fraction form
    243,069/367,960.50 = 367,960.50/x
  3. Step 3: Cross multiply
    243,069x = 367,960.50 × 367,960.50
  4. Step 4: Simplify right side
    243,069x = 135,394,929,560.25
  5. Step 5: Solve for x
    x = 135,394,929,560.25/243,069
  6. Step 6: Final answer
    x = 557,022.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.