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Finding the Third Proportional to 90,564.50 and 198,625

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Solution

The third proportional to 90,564.50 and 198,625 is: 435,622.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,564.50 : 198,625 = 198,625 : x
  2. Step 2: Convert to fraction form
    90,564.50/198,625 = 198,625/x
  3. Step 3: Cross multiply
    90,564.50x = 198,625 × 198,625
  4. Step 4: Simplify right side
    90,564.50x = 39,451,890,625
  5. Step 5: Solve for x
    x = 39,451,890,625/90,564.50
  6. Step 6: Final answer
    x = 435,622.02

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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.