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Finding the Third Proportional to 198,834 and 427,326

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Solution

The third proportional to 198,834 and 427,326 is: 918,391.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,834 : 427,326 = 427,326 : x
  2. Step 2: Convert to fraction form
    198,834/427,326 = 427,326/x
  3. Step 3: Cross multiply
    198,834x = 427,326 × 427,326
  4. Step 4: Simplify right side
    198,834x = 182,607,510,276
  5. Step 5: Solve for x
    x = 182,607,510,276/198,834
  6. Step 6: Final answer
    x = 918,391.78

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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.