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Finding the Third Proportional to 291,904 and 628,836

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Solution

The third proportional to 291,904 and 628,836 is: 1,354,673.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,904 : 628,836 = 628,836 : x
  2. Step 2: Convert to fraction form
    291,904/628,836 = 628,836/x
  3. Step 3: Cross multiply
    291,904x = 628,836 × 628,836
  4. Step 4: Simplify right side
    291,904x = 395,434,714,896
  5. Step 5: Solve for x
    x = 395,434,714,896/291,904
  6. Step 6: Final answer
    x = 1,354,673.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.