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Finding the Third Proportional to 96,056 and 206,908

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Solution

The third proportional to 96,056 and 206,908 is: 445,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,056 : 206,908 = 206,908 : x
  2. Step 2: Convert to fraction form
    96,056/206,908 = 206,908/x
  3. Step 3: Cross multiply
    96,056x = 206,908 × 206,908
  4. Step 4: Simplify right side
    96,056x = 42,810,920,464
  5. Step 5: Solve for x
    x = 42,810,920,464/96,056
  6. Step 6: Final answer
    x = 445,687.10

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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.