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Finding the Third Proportional to 261,954 and 400,451

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Solution

The third proportional to 261,954 and 400,451 is: 612,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,954 : 400,451 = 400,451 : x
  2. Step 2: Convert to fraction form
    261,954/400,451 = 400,451/x
  3. Step 3: Cross multiply
    261,954x = 400,451 × 400,451
  4. Step 4: Simplify right side
    261,954x = 160,361,003,401
  5. Step 5: Solve for x
    x = 160,361,003,401/261,954
  6. Step 6: Final answer
    x = 612,172.38

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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.