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Finding the Third Proportional to 13,480 and 20,116

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Solution

The third proportional to 13,480 and 20,116 is: 30,018.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,480 : 20,116 = 20,116 : x
  2. Step 2: Convert to fraction form
    13,480/20,116 = 20,116/x
  3. Step 3: Cross multiply
    13,480x = 20,116 × 20,116
  4. Step 4: Simplify right side
    13,480x = 404,653,456
  5. Step 5: Solve for x
    x = 404,653,456/13,480
  6. Step 6: Final answer
    x = 30,018.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.