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Finding the Third Proportional to 198,944 and 427,336

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Solution

The third proportional to 198,944 and 427,336 is: 917,926.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,944 : 427,336 = 427,336 : x
  2. Step 2: Convert to fraction form
    198,944/427,336 = 427,336/x
  3. Step 3: Cross multiply
    198,944x = 427,336 × 427,336
  4. Step 4: Simplify right side
    198,944x = 182,616,056,896
  5. Step 5: Solve for x
    x = 182,616,056,896/198,944
  6. Step 6: Final answer
    x = 917,926.94

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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.