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Finding the Third Proportional to 198,333.56 and 428,226.75

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Solution

The third proportional to 198,333.56 and 428,226.75 is: 924,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,333.56 : 428,226.75 = 428,226.75 : x
  2. Step 2: Convert to fraction form
    198,333.56/428,226.75 = 428,226.75/x
  3. Step 3: Cross multiply
    198,333.56x = 428,226.75 × 428,226.75
  4. Step 4: Simplify right side
    198,333.56x = 183,378,149,415.56
  5. Step 5: Solve for x
    x = 183,378,149,415.56/198,333.56
  6. Step 6: Final answer
    x = 924,594.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.