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Finding the Third Proportional to 185,028 and 398,606

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Solution

The third proportional to 185,028 and 398,606 is: 858,717.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,028 : 398,606 = 398,606 : x
  2. Step 2: Convert to fraction form
    185,028/398,606 = 398,606/x
  3. Step 3: Cross multiply
    185,028x = 398,606 × 398,606
  4. Step 4: Simplify right side
    185,028x = 158,886,743,236
  5. Step 5: Solve for x
    x = 158,886,743,236/185,028
  6. Step 6: Final answer
    x = 858,717.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.