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Finding the Third Proportional to 444,878 and 689,436

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Solution

The third proportional to 444,878 and 689,436 is: 1,068,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,878 : 689,436 = 689,436 : x
  2. Step 2: Convert to fraction form
    444,878/689,436 = 689,436/x
  3. Step 3: Cross multiply
    444,878x = 689,436 × 689,436
  4. Step 4: Simplify right side
    444,878x = 475,321,998,096
  5. Step 5: Solve for x
    x = 475,321,998,096/444,878
  6. Step 6: Final answer
    x = 1,068,432.24

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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.