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Finding the Third Proportional to 255,989 and 551,223

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Solution

The third proportional to 255,989 and 551,223 is: 1,186,952.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,989 : 551,223 = 551,223 : x
  2. Step 2: Convert to fraction form
    255,989/551,223 = 551,223/x
  3. Step 3: Cross multiply
    255,989x = 551,223 × 551,223
  4. Step 4: Simplify right side
    255,989x = 303,846,795,729
  5. Step 5: Solve for x
    x = 303,846,795,729/255,989
  6. Step 6: Final answer
    x = 1,186,952.55

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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.