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Finding the Third Proportional to 211,927 and 317,895

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Solution

The third proportional to 211,927 and 317,895 is: 476,849.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,927 : 317,895 = 317,895 : x
  2. Step 2: Convert to fraction form
    211,927/317,895 = 317,895/x
  3. Step 3: Cross multiply
    211,927x = 317,895 × 317,895
  4. Step 4: Simplify right side
    211,927x = 101,057,231,025
  5. Step 5: Solve for x
    x = 101,057,231,025/211,927
  6. Step 6: Final answer
    x = 476,849.25

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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.