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Finding the Third Proportional to 179,338 and 398,042

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Solution

The third proportional to 179,338 and 398,042 is: 883,457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,338 : 398,042 = 398,042 : x
  2. Step 2: Convert to fraction form
    179,338/398,042 = 398,042/x
  3. Step 3: Cross multiply
    179,338x = 398,042 × 398,042
  4. Step 4: Simplify right side
    179,338x = 158,437,433,764
  5. Step 5: Solve for x
    x = 158,437,433,764/179,338
  6. Step 6: Final answer
    x = 883,457.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.