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Finding the Third Proportional to 128,392 and 192,236

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Solution

The third proportional to 128,392 and 192,236 is: 287,826.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,392 : 192,236 = 192,236 : x
  2. Step 2: Convert to fraction form
    128,392/192,236 = 192,236/x
  3. Step 3: Cross multiply
    128,392x = 192,236 × 192,236
  4. Step 4: Simplify right side
    128,392x = 36,954,679,696
  5. Step 5: Solve for x
    x = 36,954,679,696/128,392
  6. Step 6: Final answer
    x = 287,826.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.