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Finding the Third Proportional to 3,981 and 4,581

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Solution

The third proportional to 3,981 and 4,581 is: 5,271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981 : 4,581 = 4,581 : x
  2. Step 2: Convert to fraction form
    3,981/4,581 = 4,581/x
  3. Step 3: Cross multiply
    3,981x = 4,581 × 4,581
  4. Step 4: Simplify right side
    3,981x = 20,985,561
  5. Step 5: Solve for x
    x = 20,985,561/3,981
  6. Step 6: Final answer
    x = 5,271.43

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.