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Finding the Third Proportional to 87,344 and 188,640

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Solution

The third proportional to 87,344 and 188,640 is: 407,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,344 : 188,640 = 188,640 : x
  2. Step 2: Convert to fraction form
    87,344/188,640 = 188,640/x
  3. Step 3: Cross multiply
    87,344x = 188,640 × 188,640
  4. Step 4: Simplify right side
    87,344x = 35,585,049,600
  5. Step 5: Solve for x
    x = 35,585,049,600/87,344
  6. Step 6: Final answer
    x = 407,412.64

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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.