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Finding the Third Proportional to 11,320 and 15,641

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Solution

The third proportional to 11,320 and 15,641 is: 21,611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,320 : 15,641 = 15,641 : x
  2. Step 2: Convert to fraction form
    11,320/15,641 = 15,641/x
  3. Step 3: Cross multiply
    11,320x = 15,641 × 15,641
  4. Step 4: Simplify right side
    11,320x = 244,640,881
  5. Step 5: Solve for x
    x = 244,640,881/11,320
  6. Step 6: Final answer
    x = 21,611.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.