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Finding the Third Proportional to 13,043 and 18,691

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Solution

The third proportional to 13,043 and 18,691 is: 26,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,043 : 18,691 = 18,691 : x
  2. Step 2: Convert to fraction form
    13,043/18,691 = 18,691/x
  3. Step 3: Cross multiply
    13,043x = 18,691 × 18,691
  4. Step 4: Simplify right side
    13,043x = 349,353,481
  5. Step 5: Solve for x
    x = 349,353,481/13,043
  6. Step 6: Final answer
    x = 26,784.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.