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Finding the Third Proportional to 255,950 and 551,142

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Solution

The third proportional to 255,950 and 551,142 is: 1,186,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,950 : 551,142 = 551,142 : x
  2. Step 2: Convert to fraction form
    255,950/551,142 = 551,142/x
  3. Step 3: Cross multiply
    255,950x = 551,142 × 551,142
  4. Step 4: Simplify right side
    255,950x = 303,757,504,164
  5. Step 5: Solve for x
    x = 303,757,504,164/255,950
  6. Step 6: Final answer
    x = 1,186,784.54

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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.