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Finding the Third Proportional to 94,560 and 204,873

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Solution

The third proportional to 94,560 and 204,873 is: 443,876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,560 : 204,873 = 204,873 : x
  2. Step 2: Convert to fraction form
    94,560/204,873 = 204,873/x
  3. Step 3: Cross multiply
    94,560x = 204,873 × 204,873
  4. Step 4: Simplify right side
    94,560x = 41,972,946,129
  5. Step 5: Solve for x
    x = 41,972,946,129/94,560
  6. Step 6: Final answer
    x = 443,876.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.