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Finding the Third Proportional to 185,144 and 398,414

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Solution

The third proportional to 185,144 and 398,414 is: 857,352.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,144 : 398,414 = 398,414 : x
  2. Step 2: Convert to fraction form
    185,144/398,414 = 398,414/x
  3. Step 3: Cross multiply
    185,144x = 398,414 × 398,414
  4. Step 4: Simplify right side
    185,144x = 158,733,715,396
  5. Step 5: Solve for x
    x = 158,733,715,396/185,144
  6. Step 6: Final answer
    x = 857,352.74

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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.