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Finding the Third Proportional to 422,556 and 579,396

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Solution

The third proportional to 422,556 and 579,396 is: 794,450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,556 : 579,396 = 579,396 : x
  2. Step 2: Convert to fraction form
    422,556/579,396 = 579,396/x
  3. Step 3: Cross multiply
    422,556x = 579,396 × 579,396
  4. Step 4: Simplify right side
    422,556x = 335,699,724,816
  5. Step 5: Solve for x
    x = 335,699,724,816/422,556
  6. Step 6: Final answer
    x = 794,450.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.