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Finding the Third Proportional to 14,840 and 20,874

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Solution

The third proportional to 14,840 and 20,874 is: 29,361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,840 : 20,874 = 20,874 : x
  2. Step 2: Convert to fraction form
    14,840/20,874 = 20,874/x
  3. Step 3: Cross multiply
    14,840x = 20,874 × 20,874
  4. Step 4: Simplify right side
    14,840x = 435,723,876
  5. Step 5: Solve for x
    x = 435,723,876/14,840
  6. Step 6: Final answer
    x = 29,361.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.