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Finding the Third Proportional to 408,832 and 889,664

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Solution

The third proportional to 408,832 and 889,664 is: 1,936,008.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,832 : 889,664 = 889,664 : x
  2. Step 2: Convert to fraction form
    408,832/889,664 = 889,664/x
  3. Step 3: Cross multiply
    408,832x = 889,664 × 889,664
  4. Step 4: Simplify right side
    408,832x = 791,502,032,896
  5. Step 5: Solve for x
    x = 791,502,032,896/408,832
  6. Step 6: Final answer
    x = 1,936,008.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.