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Finding the Third Proportional to 258,538 and 558,589

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Solution

The third proportional to 258,538 and 558,589 is: 1,206,869.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,538 : 558,589 = 558,589 : x
  2. Step 2: Convert to fraction form
    258,538/558,589 = 558,589/x
  3. Step 3: Cross multiply
    258,538x = 558,589 × 558,589
  4. Step 4: Simplify right side
    258,538x = 312,021,670,921
  5. Step 5: Solve for x
    x = 312,021,670,921/258,538
  6. Step 6: Final answer
    x = 1,206,869.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.