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Finding the Third Proportional to 211,568 and 317,384

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Solution

The third proportional to 211,568 and 317,384 is: 476,124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,568 : 317,384 = 317,384 : x
  2. Step 2: Convert to fraction form
    211,568/317,384 = 317,384/x
  3. Step 3: Cross multiply
    211,568x = 317,384 × 317,384
  4. Step 4: Simplify right side
    211,568x = 100,732,603,456
  5. Step 5: Solve for x
    x = 100,732,603,456/211,568
  6. Step 6: Final answer
    x = 476,124.00

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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.