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Finding the Third Proportional to 92,361 and 198,847.50

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Solution

The third proportional to 92,361 and 198,847.50 is: 428,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,361 : 198,847.50 = 198,847.50 : x
  2. Step 2: Convert to fraction form
    92,361/198,847.50 = 198,847.50/x
  3. Step 3: Cross multiply
    92,361x = 198,847.50 × 198,847.50
  4. Step 4: Simplify right side
    92,361x = 39,540,328,256.25
  5. Step 5: Solve for x
    x = 39,540,328,256.25/92,361
  6. Step 6: Final answer
    x = 428,106.32

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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.