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Finding the Third Proportional to 198,796.50 and 427,257

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Solution

The third proportional to 198,796.50 and 427,257 is: 918,268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,796.50 : 427,257 = 427,257 : x
  2. Step 2: Convert to fraction form
    198,796.50/427,257 = 427,257/x
  3. Step 3: Cross multiply
    198,796.50x = 427,257 × 427,257
  4. Step 4: Simplify right side
    198,796.50x = 182,548,544,049
  5. Step 5: Solve for x
    x = 182,548,544,049/198,796.50
  6. Step 6: Final answer
    x = 918,268.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.