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Finding the Third Proportional to 1,540 and 3,208

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Solution

The third proportional to 1,540 and 3,208 is: 6,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540 : 3,208 = 3,208 : x
  2. Step 2: Convert to fraction form
    1,540/3,208 = 3,208/x
  3. Step 3: Cross multiply
    1,540x = 3,208 × 3,208
  4. Step 4: Simplify right side
    1,540x = 10,291,264
  5. Step 5: Solve for x
    x = 10,291,264/1,540
  6. Step 6: Final answer
    x = 6,682.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.