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Finding the Third Proportional to 198,636.05 and 255,042.42

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Solution

The third proportional to 198,636.05 and 255,042.42 is: 327,466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,636.05 : 255,042.42 = 255,042.42 : x
  2. Step 2: Convert to fraction form
    198,636.05/255,042.42 = 255,042.42/x
  3. Step 3: Cross multiply
    198,636.05x = 255,042.42 × 255,042.42
  4. Step 4: Simplify right side
    198,636.05x = 65,046,636,955.87
  5. Step 5: Solve for x
    x = 65,046,636,955.87/198,636.05
  6. Step 6: Final answer
    x = 327,466.43

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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.