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Finding the Third Proportional to 129,169.69 and 308,640.38

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Solution

The third proportional to 129,169.69 and 308,640.38 is: 737,470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,169.69 : 308,640.38 = 308,640.38 : x
  2. Step 2: Convert to fraction form
    129,169.69/308,640.38 = 308,640.38/x
  3. Step 3: Cross multiply
    129,169.69x = 308,640.38 × 308,640.38
  4. Step 4: Simplify right side
    129,169.69x = 95,258,881,080.14
  5. Step 5: Solve for x
    x = 95,258,881,080.14/129,169.69
  6. Step 6: Final answer
    x = 737,470.86

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.