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Finding the Third Proportional to 136,786.69 and 218,519.65

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Solution

The third proportional to 136,786.69 and 218,519.65 is: 349,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,786.69 : 218,519.65 = 218,519.65 : x
  2. Step 2: Convert to fraction form
    136,786.69/218,519.65 = 218,519.65/x
  3. Step 3: Cross multiply
    136,786.69x = 218,519.65 × 218,519.65
  4. Step 4: Simplify right side
    136,786.69x = 47,750,836,753.25
  5. Step 5: Solve for x
    x = 47,750,836,753.25/136,786.69
  6. Step 6: Final answer
    x = 349,089.78

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.