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Finding the Third Proportional to 206,686 and 442,896

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Solution

The third proportional to 206,686 and 442,896 is: 949,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,686 : 442,896 = 442,896 : x
  2. Step 2: Convert to fraction form
    206,686/442,896 = 442,896/x
  3. Step 3: Cross multiply
    206,686x = 442,896 × 442,896
  4. Step 4: Simplify right side
    206,686x = 196,156,866,816
  5. Step 5: Solve for x
    x = 196,156,866,816/206,686
  6. Step 6: Final answer
    x = 949,057.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.