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Finding the Third Proportional to 682,589 and 918,900

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Solution

The third proportional to 682,589 and 918,900 is: 1,237,021.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,589 : 918,900 = 918,900 : x
  2. Step 2: Convert to fraction form
    682,589/918,900 = 918,900/x
  3. Step 3: Cross multiply
    682,589x = 918,900 × 918,900
  4. Step 4: Simplify right side
    682,589x = 844,377,210,000
  5. Step 5: Solve for x
    x = 844,377,210,000/682,589
  6. Step 6: Final answer
    x = 1,237,021.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.