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Finding the Third Proportional to 13,786 and 19,982

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Solution

The third proportional to 13,786 and 19,982 is: 28,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786 : 19,982 = 19,982 : x
  2. Step 2: Convert to fraction form
    13,786/19,982 = 19,982/x
  3. Step 3: Cross multiply
    13,786x = 19,982 × 19,982
  4. Step 4: Simplify right side
    13,786x = 399,280,324
  5. Step 5: Solve for x
    x = 399,280,324/13,786
  6. Step 6: Final answer
    x = 28,962.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.