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Finding the Third Proportional to 14,686 and 20,791

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Solution

The third proportional to 14,686 and 20,791 is: 29,433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686 : 20,791 = 20,791 : x
  2. Step 2: Convert to fraction form
    14,686/20,791 = 20,791/x
  3. Step 3: Cross multiply
    14,686x = 20,791 × 20,791
  4. Step 4: Simplify right side
    14,686x = 432,265,681
  5. Step 5: Solve for x
    x = 432,265,681/14,686
  6. Step 6: Final answer
    x = 29,433.86

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.