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Finding the Third Proportional to 211,921 and 317,881

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Solution

The third proportional to 211,921 and 317,881 is: 476,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,921 : 317,881 = 317,881 : x
  2. Step 2: Convert to fraction form
    211,921/317,881 = 317,881/x
  3. Step 3: Cross multiply
    211,921x = 317,881 × 317,881
  4. Step 4: Simplify right side
    211,921x = 101,048,330,161
  5. Step 5: Solve for x
    x = 101,048,330,161/211,921
  6. Step 6: Final answer
    x = 476,820.75

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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.