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Finding the Third Proportional to 682,591 and 918,903

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Solution

The third proportional to 682,591 and 918,903 is: 1,237,025.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,591 : 918,903 = 918,903 : x
  2. Step 2: Convert to fraction form
    682,591/918,903 = 918,903/x
  3. Step 3: Cross multiply
    682,591x = 918,903 × 918,903
  4. Step 4: Simplify right side
    682,591x = 844,382,723,409
  5. Step 5: Solve for x
    x = 844,382,723,409/682,591
  6. Step 6: Final answer
    x = 1,237,025.87

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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.