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Finding the Third Proportional to 318,286 and 446,181

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Solution

The third proportional to 318,286 and 446,181 is: 625,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,286 : 446,181 = 446,181 : x
  2. Step 2: Convert to fraction form
    318,286/446,181 = 446,181/x
  3. Step 3: Cross multiply
    318,286x = 446,181 × 446,181
  4. Step 4: Simplify right side
    318,286x = 199,077,484,761
  5. Step 5: Solve for x
    x = 199,077,484,761/318,286
  6. Step 6: Final answer
    x = 625,467.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.