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Finding the Third Proportional to 115,992 and 222,768

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Solution

The third proportional to 115,992 and 222,768 is: 427,836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,992 : 222,768 = 222,768 : x
  2. Step 2: Convert to fraction form
    115,992/222,768 = 222,768/x
  3. Step 3: Cross multiply
    115,992x = 222,768 × 222,768
  4. Step 4: Simplify right side
    115,992x = 49,625,581,824
  5. Step 5: Solve for x
    x = 49,625,581,824/115,992
  6. Step 6: Final answer
    x = 427,836.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.