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Finding the Third Proportional to 205,920 and 442,656

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Solution

The third proportional to 205,920 and 442,656 is: 951,555.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,920 : 442,656 = 442,656 : x
  2. Step 2: Convert to fraction form
    205,920/442,656 = 442,656/x
  3. Step 3: Cross multiply
    205,920x = 442,656 × 442,656
  4. Step 4: Simplify right side
    205,920x = 195,944,334,336
  5. Step 5: Solve for x
    x = 195,944,334,336/205,920
  6. Step 6: Final answer
    x = 951,555.63

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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.