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Finding the Third Proportional to 444,909 and 689,481

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Solution

The third proportional to 444,909 and 689,481 is: 1,068,497.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,909 : 689,481 = 689,481 : x
  2. Step 2: Convert to fraction form
    444,909/689,481 = 689,481/x
  3. Step 3: Cross multiply
    444,909x = 689,481 × 689,481
  4. Step 4: Simplify right side
    444,909x = 475,384,049,361
  5. Step 5: Solve for x
    x = 475,384,049,361/444,909
  6. Step 6: Final answer
    x = 1,068,497.26

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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.