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Finding the Third Proportional to 128,384.25 and 192,600

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Solution

The third proportional to 128,384.25 and 192,600 is: 288,935.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,384.25 : 192,600 = 192,600 : x
  2. Step 2: Convert to fraction form
    128,384.25/192,600 = 192,600/x
  3. Step 3: Cross multiply
    128,384.25x = 192,600 × 192,600
  4. Step 4: Simplify right side
    128,384.25x = 37,094,760,000
  5. Step 5: Solve for x
    x = 37,094,760,000/128,384.25
  6. Step 6: Final answer
    x = 288,935.44

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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.