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Finding the Third Proportional to 3,540 and 5,678

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Solution

The third proportional to 3,540 and 5,678 is: 9,107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540 : 5,678 = 5,678 : x
  2. Step 2: Convert to fraction form
    3,540/5,678 = 5,678/x
  3. Step 3: Cross multiply
    3,540x = 5,678 × 5,678
  4. Step 4: Simplify right side
    3,540x = 32,239,684
  5. Step 5: Solve for x
    x = 32,239,684/3,540
  6. Step 6: Final answer
    x = 9,107.26

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.