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Finding the Third Proportional to 211,923 and 317,889

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Solution

The third proportional to 211,923 and 317,889 is: 476,840.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,923 : 317,889 = 317,889 : x
  2. Step 2: Convert to fraction form
    211,923/317,889 = 317,889/x
  3. Step 3: Cross multiply
    211,923x = 317,889 × 317,889
  4. Step 4: Simplify right side
    211,923x = 101,053,416,321
  5. Step 5: Solve for x
    x = 101,053,416,321/211,923
  6. Step 6: Final answer
    x = 476,840.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.