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Finding the Third Proportional to 87,344 and 178,348

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Solution

The third proportional to 87,344 and 178,348 is: 364,169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,344 : 178,348 = 178,348 : x
  2. Step 2: Convert to fraction form
    87,344/178,348 = 178,348/x
  3. Step 3: Cross multiply
    87,344x = 178,348 × 178,348
  4. Step 4: Simplify right side
    87,344x = 31,808,009,104
  5. Step 5: Solve for x
    x = 31,808,009,104/87,344
  6. Step 6: Final answer
    x = 364,169.37

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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.