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Finding the Third Proportional to 139,213.69 and 217,135.69

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Solution

The third proportional to 139,213.69 and 217,135.69 is: 338,672.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,213.69 : 217,135.69 = 217,135.69 : x
  2. Step 2: Convert to fraction form
    139,213.69/217,135.69 = 217,135.69/x
  3. Step 3: Cross multiply
    139,213.69x = 217,135.69 × 217,135.69
  4. Step 4: Simplify right side
    139,213.69x = 47,147,906,786.10
  5. Step 5: Solve for x
    x = 47,147,906,786.10/139,213.69
  6. Step 6: Final answer
    x = 338,672.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.