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Finding the Third Proportional to 89,131 and 193,631

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Solution

The third proportional to 89,131 and 193,631 is: 420,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,131 : 193,631 = 193,631 : x
  2. Step 2: Convert to fraction form
    89,131/193,631 = 193,631/x
  3. Step 3: Cross multiply
    89,131x = 193,631 × 193,631
  4. Step 4: Simplify right side
    89,131x = 37,492,964,161
  5. Step 5: Solve for x
    x = 37,492,964,161/89,131
  6. Step 6: Final answer
    x = 420,650.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.