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Finding the Third Proportional to 13,686 and 14,820

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Solution

The third proportional to 13,686 and 14,820 is: 16,047.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686 : 14,820 = 14,820 : x
  2. Step 2: Convert to fraction form
    13,686/14,820 = 14,820/x
  3. Step 3: Cross multiply
    13,686x = 14,820 × 14,820
  4. Step 4: Simplify right side
    13,686x = 219,632,400
  5. Step 5: Solve for x
    x = 219,632,400/13,686
  6. Step 6: Final answer
    x = 16,047.96

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.