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Finding the Third Proportional to 270,970.50 and 381,249

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Solution

The third proportional to 270,970.50 and 381,249 is: 536,408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,970.50 : 381,249 = 381,249 : x
  2. Step 2: Convert to fraction form
    270,970.50/381,249 = 381,249/x
  3. Step 3: Cross multiply
    270,970.50x = 381,249 × 381,249
  4. Step 4: Simplify right side
    270,970.50x = 145,350,800,001
  5. Step 5: Solve for x
    x = 145,350,800,001/270,970.50
  6. Step 6: Final answer
    x = 536,408.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.