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Finding the Third Proportional to 211,473 and 323,907

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Solution

The third proportional to 211,473 and 323,907 is: 496,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,473 : 323,907 = 323,907 : x
  2. Step 2: Convert to fraction form
    211,473/323,907 = 323,907/x
  3. Step 3: Cross multiply
    211,473x = 323,907 × 323,907
  4. Step 4: Simplify right side
    211,473x = 104,915,744,649
  5. Step 5: Solve for x
    x = 104,915,744,649/211,473
  6. Step 6: Final answer
    x = 496,118.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.