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Finding the Third Proportional to 117,812 and 178,433

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Solution

The third proportional to 117,812 and 178,433 is: 270,246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,812 : 178,433 = 178,433 : x
  2. Step 2: Convert to fraction form
    117,812/178,433 = 178,433/x
  3. Step 3: Cross multiply
    117,812x = 178,433 × 178,433
  4. Step 4: Simplify right side
    117,812x = 31,838,335,489
  5. Step 5: Solve for x
    x = 31,838,335,489/117,812
  6. Step 6: Final answer
    x = 270,246.97

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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.