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Finding the Third Proportional to 89,120 and 198,164

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Solution

The third proportional to 89,120 and 198,164 is: 440,630.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,120 : 198,164 = 198,164 : x
  2. Step 2: Convert to fraction form
    89,120/198,164 = 198,164/x
  3. Step 3: Cross multiply
    89,120x = 198,164 × 198,164
  4. Step 4: Simplify right side
    89,120x = 39,268,970,896
  5. Step 5: Solve for x
    x = 39,268,970,896/89,120
  6. Step 6: Final answer
    x = 440,630.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.