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Finding the Third Proportional to 174,375 and 388,206

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Solution

The third proportional to 174,375 and 388,206 is: 864,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,375 : 388,206 = 388,206 : x
  2. Step 2: Convert to fraction form
    174,375/388,206 = 388,206/x
  3. Step 3: Cross multiply
    174,375x = 388,206 × 388,206
  4. Step 4: Simplify right side
    174,375x = 150,703,898,436
  5. Step 5: Solve for x
    x = 150,703,898,436/174,375
  6. Step 6: Final answer
    x = 864,251.75

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.