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Finding the Third Proportional to 128,135.25 and 299,379.38

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Solution

The third proportional to 128,135.25 and 299,379.38 is: 699,479.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,135.25 : 299,379.38 = 299,379.38 : x
  2. Step 2: Convert to fraction form
    128,135.25/299,379.38 = 299,379.38/x
  3. Step 3: Cross multiply
    128,135.25x = 299,379.38 × 299,379.38
  4. Step 4: Simplify right side
    128,135.25x = 89,628,010,175.39
  5. Step 5: Solve for x
    x = 89,628,010,175.39/128,135.25
  6. Step 6: Final answer
    x = 699,479.73

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.