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Finding the Third Proportional to 119,923 and 257,989

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Solution

The third proportional to 119,923 and 257,989 is: 555,008.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,923 : 257,989 = 257,989 : x
  2. Step 2: Convert to fraction form
    119,923/257,989 = 257,989/x
  3. Step 3: Cross multiply
    119,923x = 257,989 × 257,989
  4. Step 4: Simplify right side
    119,923x = 66,558,324,121
  5. Step 5: Solve for x
    x = 66,558,324,121/119,923
  6. Step 6: Final answer
    x = 555,008.83

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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.