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Finding the Third Proportional to 419,325 and 558,666

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Solution

The third proportional to 419,325 and 558,666 is: 744,309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,325 : 558,666 = 558,666 : x
  2. Step 2: Convert to fraction form
    419,325/558,666 = 558,666/x
  3. Step 3: Cross multiply
    419,325x = 558,666 × 558,666
  4. Step 4: Simplify right side
    419,325x = 312,107,699,556
  5. Step 5: Solve for x
    x = 312,107,699,556/419,325
  6. Step 6: Final answer
    x = 744,309.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.