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Finding the Third Proportional to 15,640 and 33,725

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Solution

The third proportional to 15,640 and 33,725 is: 72,722.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,640 : 33,725 = 33,725 : x
  2. Step 2: Convert to fraction form
    15,640/33,725 = 33,725/x
  3. Step 3: Cross multiply
    15,640x = 33,725 × 33,725
  4. Step 4: Simplify right side
    15,640x = 1,137,375,625
  5. Step 5: Solve for x
    x = 1,137,375,625/15,640
  6. Step 6: Final answer
    x = 72,722.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.