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Finding the Third Proportional to 271,998 and 413,991

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Solution

The third proportional to 271,998 and 413,991 is: 630,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,998 : 413,991 = 413,991 : x
  2. Step 2: Convert to fraction form
    271,998/413,991 = 413,991/x
  3. Step 3: Cross multiply
    271,998x = 413,991 × 413,991
  4. Step 4: Simplify right side
    271,998x = 171,388,548,081
  5. Step 5: Solve for x
    x = 171,388,548,081/271,998
  6. Step 6: Final answer
    x = 630,109.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.