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Finding the Third Proportional to 444,728 and 689,664

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Solution

The third proportional to 444,728 and 689,664 is: 1,069,499.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,728 : 689,664 = 689,664 : x
  2. Step 2: Convert to fraction form
    444,728/689,664 = 689,664/x
  3. Step 3: Cross multiply
    444,728x = 689,664 × 689,664
  4. Step 4: Simplify right side
    444,728x = 475,636,432,896
  5. Step 5: Solve for x
    x = 475,636,432,896/444,728
  6. Step 6: Final answer
    x = 1,069,499.63

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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.