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Finding the Third Proportional to 128,381 and 188,935

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Solution

The third proportional to 128,381 and 188,935 is: 278,050.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,381 : 188,935 = 188,935 : x
  2. Step 2: Convert to fraction form
    128,381/188,935 = 188,935/x
  3. Step 3: Cross multiply
    128,381x = 188,935 × 188,935
  4. Step 4: Simplify right side
    128,381x = 35,696,434,225
  5. Step 5: Solve for x
    x = 35,696,434,225/128,381
  6. Step 6: Final answer
    x = 278,050.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.