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Finding the Third Proportional to 317,474 and 479,451

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Solution

The third proportional to 317,474 and 479,451 is: 724,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,474 : 479,451 = 479,451 : x
  2. Step 2: Convert to fraction form
    317,474/479,451 = 479,451/x
  3. Step 3: Cross multiply
    317,474x = 479,451 × 479,451
  4. Step 4: Simplify right side
    317,474x = 229,873,261,401
  5. Step 5: Solve for x
    x = 229,873,261,401/317,474
  6. Step 6: Final answer
    x = 724,069.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.