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Finding the Third Proportional to 92,100 and 198,294

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Solution

The third proportional to 92,100 and 198,294 is: 426,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,100 : 198,294 = 198,294 : x
  2. Step 2: Convert to fraction form
    92,100/198,294 = 198,294/x
  3. Step 3: Cross multiply
    92,100x = 198,294 × 198,294
  4. Step 4: Simplify right side
    92,100x = 39,320,510,436
  5. Step 5: Solve for x
    x = 39,320,510,436/92,100
  6. Step 6: Final answer
    x = 426,932.80

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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.