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Finding the Third Proportional to 289,409 and 445,049

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Solution

The third proportional to 289,409 and 445,049 is: 684,389.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,409 : 445,049 = 445,049 : x
  2. Step 2: Convert to fraction form
    289,409/445,049 = 445,049/x
  3. Step 3: Cross multiply
    289,409x = 445,049 × 445,049
  4. Step 4: Simplify right side
    289,409x = 198,068,612,401
  5. Step 5: Solve for x
    x = 198,068,612,401/289,409
  6. Step 6: Final answer
    x = 684,389.95

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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.