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Finding the Third Proportional to 15,740 and 33,640

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Solution

The third proportional to 15,740 and 33,640 is: 71,896.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,740 : 33,640 = 33,640 : x
  2. Step 2: Convert to fraction form
    15,740/33,640 = 33,640/x
  3. Step 3: Cross multiply
    15,740x = 33,640 × 33,640
  4. Step 4: Simplify right side
    15,740x = 1,131,649,600
  5. Step 5: Solve for x
    x = 1,131,649,600/15,740
  6. Step 6: Final answer
    x = 71,896.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.