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Finding the Third Proportional to 289,664 and 605,809

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Solution

The third proportional to 289,664 and 605,809 is: 1,267,000.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,664 : 605,809 = 605,809 : x
  2. Step 2: Convert to fraction form
    289,664/605,809 = 605,809/x
  3. Step 3: Cross multiply
    289,664x = 605,809 × 605,809
  4. Step 4: Simplify right side
    289,664x = 367,004,544,481
  5. Step 5: Solve for x
    x = 367,004,544,481/289,664
  6. Step 6: Final answer
    x = 1,267,000.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.