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Finding the Third Proportional to 289,099 and 444,921

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Solution

The third proportional to 289,099 and 444,921 is: 684,729.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,099 : 444,921 = 444,921 : x
  2. Step 2: Convert to fraction form
    289,099/444,921 = 444,921/x
  3. Step 3: Cross multiply
    289,099x = 444,921 × 444,921
  4. Step 4: Simplify right side
    289,099x = 197,954,696,241
  5. Step 5: Solve for x
    x = 197,954,696,241/289,099
  6. Step 6: Final answer
    x = 684,729.79

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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.