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Finding the Third Proportional to 87,512 and 178,712

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Solution

The third proportional to 87,512 and 178,712 is: 364,955.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,512 : 178,712 = 178,712 : x
  2. Step 2: Convert to fraction form
    87,512/178,712 = 178,712/x
  3. Step 3: Cross multiply
    87,512x = 178,712 × 178,712
  4. Step 4: Simplify right side
    87,512x = 31,937,978,944
  5. Step 5: Solve for x
    x = 31,937,978,944/87,512
  6. Step 6: Final answer
    x = 364,955.42

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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.