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Finding the Third Proportional to 214,249.50 and 409,059

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Solution

The third proportional to 214,249.50 and 409,059 is: 781,001.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,249.50 : 409,059 = 409,059 : x
  2. Step 2: Convert to fraction form
    214,249.50/409,059 = 409,059/x
  3. Step 3: Cross multiply
    214,249.50x = 409,059 × 409,059
  4. Step 4: Simplify right side
    214,249.50x = 167,329,265,481
  5. Step 5: Solve for x
    x = 167,329,265,481/214,249.50
  6. Step 6: Final answer
    x = 781,001.89

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.