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Finding the Third Proportional to 13,759 and 29,981

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Solution

The third proportional to 13,759 and 29,981 is: 65,328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,759 : 29,981 = 29,981 : x
  2. Step 2: Convert to fraction form
    13,759/29,981 = 29,981/x
  3. Step 3: Cross multiply
    13,759x = 29,981 × 29,981
  4. Step 4: Simplify right side
    13,759x = 898,860,361
  5. Step 5: Solve for x
    x = 898,860,361/13,759
  6. Step 6: Final answer
    x = 65,328.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.