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Finding the Third Proportional to 271,311 and 399,123

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Solution

The third proportional to 271,311 and 399,123 is: 587,146.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,311 : 399,123 = 399,123 : x
  2. Step 2: Convert to fraction form
    271,311/399,123 = 399,123/x
  3. Step 3: Cross multiply
    271,311x = 399,123 × 399,123
  4. Step 4: Simplify right side
    271,311x = 159,299,169,129
  5. Step 5: Solve for x
    x = 159,299,169,129/271,311
  6. Step 6: Final answer
    x = 587,146.00

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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.