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Finding the Third Proportional to 289,290 and 447,891

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Solution

The third proportional to 289,290 and 447,891 is: 693,443.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,290 : 447,891 = 447,891 : x
  2. Step 2: Convert to fraction form
    289,290/447,891 = 447,891/x
  3. Step 3: Cross multiply
    289,290x = 447,891 × 447,891
  4. Step 4: Simplify right side
    289,290x = 200,606,347,881
  5. Step 5: Solve for x
    x = 200,606,347,881/289,290
  6. Step 6: Final answer
    x = 693,443.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.