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Finding the Third Proportional to 431,660 and 880,456

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Solution

The third proportional to 431,660 and 880,456 is: 1,795,864.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,660 : 880,456 = 880,456 : x
  2. Step 2: Convert to fraction form
    431,660/880,456 = 880,456/x
  3. Step 3: Cross multiply
    431,660x = 880,456 × 880,456
  4. Step 4: Simplify right side
    431,660x = 775,202,767,936
  5. Step 5: Solve for x
    x = 775,202,767,936/431,660
  6. Step 6: Final answer
    x = 1,795,864.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.