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Finding the Third Proportional to 211,919 and 317,878

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Solution

The third proportional to 211,919 and 317,878 is: 476,816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,919 : 317,878 = 317,878 : x
  2. Step 2: Convert to fraction form
    211,919/317,878 = 317,878/x
  3. Step 3: Cross multiply
    211,919x = 317,878 × 317,878
  4. Step 4: Simplify right side
    211,919x = 101,046,422,884
  5. Step 5: Solve for x
    x = 101,046,422,884/211,919
  6. Step 6: Final answer
    x = 476,816.25

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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.