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Finding the Third Proportional to 96,098 and 206,404

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Solution

The third proportional to 96,098 and 206,404 is: 443,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,098 : 206,404 = 206,404 : x
  2. Step 2: Convert to fraction form
    96,098/206,404 = 206,404/x
  3. Step 3: Cross multiply
    96,098x = 206,404 × 206,404
  4. Step 4: Simplify right side
    96,098x = 42,602,611,216
  5. Step 5: Solve for x
    x = 42,602,611,216/96,098
  6. Step 6: Final answer
    x = 443,324.64

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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.