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Finding the Third Proportional to 373,998 and 811,404

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Solution

The third proportional to 373,998 and 811,404 is: 1,760,374.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,998 : 811,404 = 811,404 : x
  2. Step 2: Convert to fraction form
    373,998/811,404 = 811,404/x
  3. Step 3: Cross multiply
    373,998x = 811,404 × 811,404
  4. Step 4: Simplify right side
    373,998x = 658,376,451,216
  5. Step 5: Solve for x
    x = 658,376,451,216/373,998
  6. Step 6: Final answer
    x = 1,760,374.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.