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Finding the Third Proportional to 444,624 and 689,544

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Solution

The third proportional to 444,624 and 689,544 is: 1,069,377.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,624 : 689,544 = 689,544 : x
  2. Step 2: Convert to fraction form
    444,624/689,544 = 689,544/x
  3. Step 3: Cross multiply
    444,624x = 689,544 × 689,544
  4. Step 4: Simplify right side
    444,624x = 475,470,927,936
  5. Step 5: Solve for x
    x = 475,470,927,936/444,624
  6. Step 6: Final answer
    x = 1,069,377.56

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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.