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Finding the Third Proportional to 256,826 and 551,884

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Solution

The third proportional to 256,826 and 551,884 is: 1,185,923.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,826 : 551,884 = 551,884 : x
  2. Step 2: Convert to fraction form
    256,826/551,884 = 551,884/x
  3. Step 3: Cross multiply
    256,826x = 551,884 × 551,884
  4. Step 4: Simplify right side
    256,826x = 304,575,949,456
  5. Step 5: Solve for x
    x = 304,575,949,456/256,826
  6. Step 6: Final answer
    x = 1,185,923.35

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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.