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Finding the Third Proportional to 93,471 and 201,198

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Solution

The third proportional to 93,471 and 201,198 is: 433,082.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,471 : 201,198 = 201,198 : x
  2. Step 2: Convert to fraction form
    93,471/201,198 = 201,198/x
  3. Step 3: Cross multiply
    93,471x = 201,198 × 201,198
  4. Step 4: Simplify right side
    93,471x = 40,480,635,204
  5. Step 5: Solve for x
    x = 40,480,635,204/93,471
  6. Step 6: Final answer
    x = 433,082.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.