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Finding the Third Proportional to 13,781 and 21,902

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Solution

The third proportional to 13,781 and 21,902 is: 34,808.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781 : 21,902 = 21,902 : x
  2. Step 2: Convert to fraction form
    13,781/21,902 = 21,902/x
  3. Step 3: Cross multiply
    13,781x = 21,902 × 21,902
  4. Step 4: Simplify right side
    13,781x = 479,697,604
  5. Step 5: Solve for x
    x = 479,697,604/13,781
  6. Step 6: Final answer
    x = 34,808.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.