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Finding the Third Proportional to 90,500 and 198,494

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Solution

The third proportional to 90,500 and 198,494 is: 435,357.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,500 : 198,494 = 198,494 : x
  2. Step 2: Convert to fraction form
    90,500/198,494 = 198,494/x
  3. Step 3: Cross multiply
    90,500x = 198,494 × 198,494
  4. Step 4: Simplify right side
    90,500x = 39,399,868,036
  5. Step 5: Solve for x
    x = 39,399,868,036/90,500
  6. Step 6: Final answer
    x = 435,357.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.