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Finding the Third Proportional to 198,265.22 and 420,109.03

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Solution

The third proportional to 198,265.22 and 420,109.03 is: 890,179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,265.22 : 420,109.03 = 420,109.03 : x
  2. Step 2: Convert to fraction form
    198,265.22/420,109.03 = 420,109.03/x
  3. Step 3: Cross multiply
    198,265.22x = 420,109.03 × 420,109.03
  4. Step 4: Simplify right side
    198,265.22x = 176,491,598,137.81
  5. Step 5: Solve for x
    x = 176,491,598,137.81/198,265.22
  6. Step 6: Final answer
    x = 890,179.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.