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Finding the Third Proportional to 291,899 and 628,828

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Solution

The third proportional to 291,899 and 628,828 is: 1,354,662.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,899 : 628,828 = 628,828 : x
  2. Step 2: Convert to fraction form
    291,899/628,828 = 628,828/x
  3. Step 3: Cross multiply
    291,899x = 628,828 × 628,828
  4. Step 4: Simplify right side
    291,899x = 395,424,653,584
  5. Step 5: Solve for x
    x = 395,424,653,584/291,899
  6. Step 6: Final answer
    x = 1,354,662.58

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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.