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Finding the Third Proportional to 419,326 and 558,675

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Solution

The third proportional to 419,326 and 558,675 is: 744,331.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,326 : 558,675 = 558,675 : x
  2. Step 2: Convert to fraction form
    419,326/558,675 = 558,675/x
  3. Step 3: Cross multiply
    419,326x = 558,675 × 558,675
  4. Step 4: Simplify right side
    419,326x = 312,117,755,625
  5. Step 5: Solve for x
    x = 312,117,755,625/419,326
  6. Step 6: Final answer
    x = 744,331.99

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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.