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Finding the Third Proportional to 198,639 and 255,042

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Solution

The third proportional to 198,639 and 255,042 is: 327,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,639 : 255,042 = 255,042 : x
  2. Step 2: Convert to fraction form
    198,639/255,042 = 255,042/x
  3. Step 3: Cross multiply
    198,639x = 255,042 × 255,042
  4. Step 4: Simplify right side
    198,639x = 65,046,421,764
  5. Step 5: Solve for x
    x = 65,046,421,764/198,639
  6. Step 6: Final answer
    x = 327,460.48

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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.