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Finding the Third Proportional to 117,573 and 178,821

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Solution

The third proportional to 117,573 and 178,821 is: 271,975.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,573 : 178,821 = 178,821 : x
  2. Step 2: Convert to fraction form
    117,573/178,821 = 178,821/x
  3. Step 3: Cross multiply
    117,573x = 178,821 × 178,821
  4. Step 4: Simplify right side
    117,573x = 31,976,950,041
  5. Step 5: Solve for x
    x = 31,976,950,041/117,573
  6. Step 6: Final answer
    x = 271,975.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.