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Finding the Third Proportional to 13,830 and 19,881

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Solution

The third proportional to 13,830 and 19,881 is: 28,579.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830 : 19,881 = 19,881 : x
  2. Step 2: Convert to fraction form
    13,830/19,881 = 19,881/x
  3. Step 3: Cross multiply
    13,830x = 19,881 × 19,881
  4. Step 4: Simplify right side
    13,830x = 395,254,161
  5. Step 5: Solve for x
    x = 395,254,161/13,830
  6. Step 6: Final answer
    x = 28,579.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.