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Finding the Third Proportional to 271,420 and 399,021

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Solution

The third proportional to 271,420 and 399,021 is: 586,610.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,420 : 399,021 = 399,021 : x
  2. Step 2: Convert to fraction form
    271,420/399,021 = 399,021/x
  3. Step 3: Cross multiply
    271,420x = 399,021 × 399,021
  4. Step 4: Simplify right side
    271,420x = 159,217,758,441
  5. Step 5: Solve for x
    x = 159,217,758,441/271,420
  6. Step 6: Final answer
    x = 586,610.27

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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.