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Finding the Third Proportional to 289,834 and 445,551

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Solution

The third proportional to 289,834 and 445,551 is: 684,928.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,834 : 445,551 = 445,551 : x
  2. Step 2: Convert to fraction form
    289,834/445,551 = 445,551/x
  3. Step 3: Cross multiply
    289,834x = 445,551 × 445,551
  4. Step 4: Simplify right side
    289,834x = 198,515,693,601
  5. Step 5: Solve for x
    x = 198,515,693,601/289,834
  6. Step 6: Final answer
    x = 684,928.94

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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.