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Finding the Third Proportional to 128,163 and 194,156

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Solution

The third proportional to 128,163 and 194,156 is: 294,129.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,163 : 194,156 = 194,156 : x
  2. Step 2: Convert to fraction form
    128,163/194,156 = 194,156/x
  3. Step 3: Cross multiply
    128,163x = 194,156 × 194,156
  4. Step 4: Simplify right side
    128,163x = 37,696,552,336
  5. Step 5: Solve for x
    x = 37,696,552,336/128,163
  6. Step 6: Final answer
    x = 294,129.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.