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Finding the Third Proportional to 271,443 and 399,272

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Solution

The third proportional to 271,443 and 399,272 is: 587,298.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,443 : 399,272 = 399,272 : x
  2. Step 2: Convert to fraction form
    271,443/399,272 = 399,272/x
  3. Step 3: Cross multiply
    271,443x = 399,272 × 399,272
  4. Step 4: Simplify right side
    271,443x = 159,418,129,984
  5. Step 5: Solve for x
    x = 159,418,129,984/271,443
  6. Step 6: Final answer
    x = 587,298.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.