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Finding the Third Proportional to 271,472 and 409,990

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Solution

The third proportional to 271,472 and 409,990 is: 619,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,472 : 409,990 = 409,990 : x
  2. Step 2: Convert to fraction form
    271,472/409,990 = 409,990/x
  3. Step 3: Cross multiply
    271,472x = 409,990 × 409,990
  4. Step 4: Simplify right side
    271,472x = 168,091,800,100
  5. Step 5: Solve for x
    x = 168,091,800,100/271,472
  6. Step 6: Final answer
    x = 619,186.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.