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Finding the Third Proportional to 89,230.50 and 193,161.38

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Solution

The third proportional to 89,230.50 and 193,161.38 is: 418,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,230.50 : 193,161.38 = 193,161.38 : x
  2. Step 2: Convert to fraction form
    89,230.50/193,161.38 = 193,161.38/x
  3. Step 3: Cross multiply
    89,230.50x = 193,161.38 × 193,161.38
  4. Step 4: Simplify right side
    89,230.50x = 37,311,316,791.89
  5. Step 5: Solve for x
    x = 37,311,316,791.89/89,230.50
  6. Step 6: Final answer
    x = 418,145.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.