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Finding the Third Proportional to 271,298.25 and 399,107.25

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Solution

The third proportional to 271,298.25 and 399,107.25 is: 587,127.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,298.25 : 399,107.25 = 399,107.25 : x
  2. Step 2: Convert to fraction form
    271,298.25/399,107.25 = 399,107.25/x
  3. Step 3: Cross multiply
    271,298.25x = 399,107.25 × 399,107.25
  4. Step 4: Simplify right side
    271,298.25x = 159,286,597,002.56
  5. Step 5: Solve for x
    x = 159,286,597,002.56/271,298.25
  6. Step 6: Final answer
    x = 587,127.26

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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.