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Finding the Third Proportional to 92,098 and 198,364.50

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Solution

The third proportional to 92,098 and 198,364.50 is: 427,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,098 : 198,364.50 = 198,364.50 : x
  2. Step 2: Convert to fraction form
    92,098/198,364.50 = 198,364.50/x
  3. Step 3: Cross multiply
    92,098x = 198,364.50 × 198,364.50
  4. Step 4: Simplify right side
    92,098x = 39,348,474,860.25
  5. Step 5: Solve for x
    x = 39,348,474,860.25/92,098
  6. Step 6: Final answer
    x = 427,245.70

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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.