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Finding the Third Proportional to 291,834 and 628,697

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Solution

The third proportional to 291,834 and 628,697 is: 1,354,399.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,834 : 628,697 = 628,697 : x
  2. Step 2: Convert to fraction form
    291,834/628,697 = 628,697/x
  3. Step 3: Cross multiply
    291,834x = 628,697 × 628,697
  4. Step 4: Simplify right side
    291,834x = 395,259,917,809
  5. Step 5: Solve for x
    x = 395,259,917,809/291,834
  6. Step 6: Final answer
    x = 1,354,399.82

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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.