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Finding the Third Proportional to 92,016 and 204,768

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Solution

The third proportional to 92,016 and 204,768 is: 455,680.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,016 : 204,768 = 204,768 : x
  2. Step 2: Convert to fraction form
    92,016/204,768 = 204,768/x
  3. Step 3: Cross multiply
    92,016x = 204,768 × 204,768
  4. Step 4: Simplify right side
    92,016x = 41,929,933,824
  5. Step 5: Solve for x
    x = 41,929,933,824/92,016
  6. Step 6: Final answer
    x = 455,680.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.