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Finding the Third Proportional to 185,053 and 398,171

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Solution

The third proportional to 185,053 and 398,171 is: 856,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,053 : 398,171 = 398,171 : x
  2. Step 2: Convert to fraction form
    185,053/398,171 = 398,171/x
  3. Step 3: Cross multiply
    185,053x = 398,171 × 398,171
  4. Step 4: Simplify right side
    185,053x = 158,540,145,241
  5. Step 5: Solve for x
    x = 158,540,145,241/185,053
  6. Step 6: Final answer
    x = 856,728.32

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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.