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Finding the Third Proportional to 5,480 and 11,891

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Solution

The third proportional to 5,480 and 11,891 is: 25,802.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480 : 11,891 = 11,891 : x
  2. Step 2: Convert to fraction form
    5,480/11,891 = 11,891/x
  3. Step 3: Cross multiply
    5,480x = 11,891 × 11,891
  4. Step 4: Simplify right side
    5,480x = 141,395,881
  5. Step 5: Solve for x
    x = 141,395,881/5,480
  6. Step 6: Final answer
    x = 25,802.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.