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Finding the Third Proportional to 14,742 and 20,817

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Solution

The third proportional to 14,742 and 20,817 is: 29,395.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742 : 20,817 = 20,817 : x
  2. Step 2: Convert to fraction form
    14,742/20,817 = 20,817/x
  3. Step 3: Cross multiply
    14,742x = 20,817 × 20,817
  4. Step 4: Simplify right side
    14,742x = 433,347,489
  5. Step 5: Solve for x
    x = 433,347,489/14,742
  6. Step 6: Final answer
    x = 29,395.43

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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.