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Finding the Third Proportional to 289,923 and 438,894

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Solution

The third proportional to 289,923 and 438,894 is: 664,410.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,923 : 438,894 = 438,894 : x
  2. Step 2: Convert to fraction form
    289,923/438,894 = 438,894/x
  3. Step 3: Cross multiply
    289,923x = 438,894 × 438,894
  4. Step 4: Simplify right side
    289,923x = 192,627,943,236
  5. Step 5: Solve for x
    x = 192,627,943,236/289,923
  6. Step 6: Final answer
    x = 664,410.70

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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.