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Finding the Third Proportional to 209,789 and 322,647

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Solution

The third proportional to 209,789 and 322,647 is: 496,218.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,789 : 322,647 = 322,647 : x
  2. Step 2: Convert to fraction form
    209,789/322,647 = 322,647/x
  3. Step 3: Cross multiply
    209,789x = 322,647 × 322,647
  4. Step 4: Simplify right side
    209,789x = 104,101,086,609
  5. Step 5: Solve for x
    x = 104,101,086,609/209,789
  6. Step 6: Final answer
    x = 496,218.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.