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Finding the Third Proportional to 3,558 and 7,345

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Solution

The third proportional to 3,558 and 7,345 is: 15,162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,558 : 7,345 = 7,345 : x
  2. Step 2: Convert to fraction form
    3,558/7,345 = 7,345/x
  3. Step 3: Cross multiply
    3,558x = 7,345 × 7,345
  4. Step 4: Simplify right side
    3,558x = 53,949,025
  5. Step 5: Solve for x
    x = 53,949,025/3,558
  6. Step 6: Final answer
    x = 15,162.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.