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Finding the Third Proportional to 185,057 and 398,179

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Solution

The third proportional to 185,057 and 398,179 is: 856,744.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,057 : 398,179 = 398,179 : x
  2. Step 2: Convert to fraction form
    185,057/398,179 = 398,179/x
  3. Step 3: Cross multiply
    185,057x = 398,179 × 398,179
  4. Step 4: Simplify right side
    185,057x = 158,546,516,041
  5. Step 5: Solve for x
    x = 158,546,516,041/185,057
  6. Step 6: Final answer
    x = 856,744.22

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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.