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Finding the Third Proportional to 87,928.50 and 178,964.63

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Solution

The third proportional to 87,928.50 and 178,964.63 is: 364,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,928.50 : 178,964.63 = 178,964.63 : x
  2. Step 2: Convert to fraction form
    87,928.50/178,964.63 = 178,964.63/x
  3. Step 3: Cross multiply
    87,928.50x = 178,964.63 × 178,964.63
  4. Step 4: Simplify right side
    87,928.50x = 32,028,337,001.39
  5. Step 5: Solve for x
    x = 32,028,337,001.39/87,928.50
  6. Step 6: Final answer
    x = 364,254.33

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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.