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Finding the Third Proportional to 129,286.13 and 300,439.13

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Solution

The third proportional to 129,286.13 and 300,439.13 is: 698,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,286.13 : 300,439.13 = 300,439.13 : x
  2. Step 2: Convert to fraction form
    129,286.13/300,439.13 = 300,439.13/x
  3. Step 3: Cross multiply
    129,286.13x = 300,439.13 × 300,439.13
  4. Step 4: Simplify right side
    129,286.13x = 90,263,667,830.77
  5. Step 5: Solve for x
    x = 90,263,667,830.77/129,286.13
  6. Step 6: Final answer
    x = 698,169.80

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.