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Finding the Third Proportional to 3,405 and 7,349

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Solution

The third proportional to 3,405 and 7,349 is: 15,861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405 : 7,349 = 7,349 : x
  2. Step 2: Convert to fraction form
    3,405/7,349 = 7,349/x
  3. Step 3: Cross multiply
    3,405x = 7,349 × 7,349
  4. Step 4: Simplify right side
    3,405x = 54,007,801
  5. Step 5: Solve for x
    x = 54,007,801/3,405
  6. Step 6: Final answer
    x = 15,861.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.