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Finding the Third Proportional to 87,483 and 178,656

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Solution

The third proportional to 87,483 and 178,656 is: 364,847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,483 : 178,656 = 178,656 : x
  2. Step 2: Convert to fraction form
    87,483/178,656 = 178,656/x
  3. Step 3: Cross multiply
    87,483x = 178,656 × 178,656
  4. Step 4: Simplify right side
    87,483x = 31,917,966,336
  5. Step 5: Solve for x
    x = 31,917,966,336/87,483
  6. Step 6: Final answer
    x = 364,847.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.