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Finding the Third Proportional to 1,540 and 2,548

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Solution

The third proportional to 1,540 and 2,548 is: 4,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540 : 2,548 = 2,548 : x
  2. Step 2: Convert to fraction form
    1,540/2,548 = 2,548/x
  3. Step 3: Cross multiply
    1,540x = 2,548 × 2,548
  4. Step 4: Simplify right side
    1,540x = 6,492,304
  5. Step 5: Solve for x
    x = 6,492,304/1,540
  6. Step 6: Final answer
    x = 4,215.78

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.