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Finding the Third Proportional to 198,832.22 and 420,695.02

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Solution

The third proportional to 198,832.22 and 420,695.02 is: 890,118.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,832.22 : 420,695.02 = 420,695.02 : x
  2. Step 2: Convert to fraction form
    198,832.22/420,695.02 = 420,695.02/x
  3. Step 3: Cross multiply
    198,832.22x = 420,695.02 × 420,695.02
  4. Step 4: Simplify right side
    198,832.22x = 176,984,296,171.72
  5. Step 5: Solve for x
    x = 176,984,296,171.72/198,832.22
  6. Step 6: Final answer
    x = 890,118.80

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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.