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Finding the Third Proportional to 89,165 and 198,013

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Solution

The third proportional to 89,165 and 198,013 is: 439,736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,165 : 198,013 = 198,013 : x
  2. Step 2: Convert to fraction form
    89,165/198,013 = 198,013/x
  3. Step 3: Cross multiply
    89,165x = 198,013 × 198,013
  4. Step 4: Simplify right side
    89,165x = 39,209,148,169
  5. Step 5: Solve for x
    x = 39,209,148,169/89,165
  6. Step 6: Final answer
    x = 439,736.98

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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.