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Finding the Third Proportional to 13,681 and 20,936

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Solution

The third proportional to 13,681 and 20,936 is: 32,038.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681 : 20,936 = 20,936 : x
  2. Step 2: Convert to fraction form
    13,681/20,936 = 20,936/x
  3. Step 3: Cross multiply
    13,681x = 20,936 × 20,936
  4. Step 4: Simplify right side
    13,681x = 438,316,096
  5. Step 5: Solve for x
    x = 438,316,096/13,681
  6. Step 6: Final answer
    x = 32,038.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.