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Finding the Third Proportional to 187,425 and 408,128

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Solution

The third proportional to 187,425 and 408,128 is: 888,720.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,425 : 408,128 = 408,128 : x
  2. Step 2: Convert to fraction form
    187,425/408,128 = 408,128/x
  3. Step 3: Cross multiply
    187,425x = 408,128 × 408,128
  4. Step 4: Simplify right side
    187,425x = 166,568,464,384
  5. Step 5: Solve for x
    x = 166,568,464,384/187,425
  6. Step 6: Final answer
    x = 888,720.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.