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Finding the Third Proportional to 259,170 and 399,799

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Solution

The third proportional to 259,170 and 399,799 is: 616,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,170 : 399,799 = 399,799 : x
  2. Step 2: Convert to fraction form
    259,170/399,799 = 399,799/x
  3. Step 3: Cross multiply
    259,170x = 399,799 × 399,799
  4. Step 4: Simplify right side
    259,170x = 159,839,240,401
  5. Step 5: Solve for x
    x = 159,839,240,401/259,170
  6. Step 6: Final answer
    x = 616,735.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.