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Finding the Third Proportional to 117,546 and 252,768

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Solution

The third proportional to 117,546 and 252,768 is: 543,546.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,546 : 252,768 = 252,768 : x
  2. Step 2: Convert to fraction form
    117,546/252,768 = 252,768/x
  3. Step 3: Cross multiply
    117,546x = 252,768 × 252,768
  4. Step 4: Simplify right side
    117,546x = 63,891,661,824
  5. Step 5: Solve for x
    x = 63,891,661,824/117,546
  6. Step 6: Final answer
    x = 543,546.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.