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Finding the Third Proportional to 13,686 and 19,713

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Solution

The third proportional to 13,686 and 19,713 is: 28,394.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686 : 19,713 = 19,713 : x
  2. Step 2: Convert to fraction form
    13,686/19,713 = 19,713/x
  3. Step 3: Cross multiply
    13,686x = 19,713 × 19,713
  4. Step 4: Simplify right side
    13,686x = 388,602,369
  5. Step 5: Solve for x
    x = 388,602,369/13,686
  6. Step 6: Final answer
    x = 28,394.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.