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Finding the Third Proportional to 198,641 and 255,045

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Solution

The third proportional to 198,641 and 255,045 is: 327,464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,641 : 255,045 = 255,045 : x
  2. Step 2: Convert to fraction form
    198,641/255,045 = 255,045/x
  3. Step 3: Cross multiply
    198,641x = 255,045 × 255,045
  4. Step 4: Simplify right side
    198,641x = 65,047,952,025
  5. Step 5: Solve for x
    x = 65,047,952,025/198,641
  6. Step 6: Final answer
    x = 327,464.88

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.