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Finding the Third Proportional to 219,520.13 and 331,011.56

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Solution

The third proportional to 219,520.13 and 331,011.56 is: 499,128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,520.13 : 331,011.56 = 331,011.56 : x
  2. Step 2: Convert to fraction form
    219,520.13/331,011.56 = 331,011.56/x
  3. Step 3: Cross multiply
    219,520.13x = 331,011.56 × 331,011.56
  4. Step 4: Simplify right side
    219,520.13x = 109,568,654,508.69
  5. Step 5: Solve for x
    x = 109,568,654,508.69/219,520.13
  6. Step 6: Final answer
    x = 499,128.06

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1.5x scale

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.