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Finding the Third Proportional to 187,695 and 408,438

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Solution

The third proportional to 187,695 and 408,438 is: 888,790.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,695 : 408,438 = 408,438 : x
  2. Step 2: Convert to fraction form
    187,695/408,438 = 408,438/x
  3. Step 3: Cross multiply
    187,695x = 408,438 × 408,438
  4. Step 4: Simplify right side
    187,695x = 166,821,599,844
  5. Step 5: Solve for x
    x = 166,821,599,844/187,695
  6. Step 6: Final answer
    x = 888,790.86

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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.