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Finding the Third Proportional to 128,812 and 194,190

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Solution

The third proportional to 128,812 and 194,190 is: 292,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,812 : 194,190 = 194,190 : x
  2. Step 2: Convert to fraction form
    128,812/194,190 = 194,190/x
  3. Step 3: Cross multiply
    128,812x = 194,190 × 194,190
  4. Step 4: Simplify right side
    128,812x = 37,709,756,100
  5. Step 5: Solve for x
    x = 37,709,756,100/128,812
  6. Step 6: Final answer
    x = 292,750.33

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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.