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Finding the Third Proportional to 289,939 and 599,767

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Solution

The third proportional to 289,939 and 599,767 is: 1,240,676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,939 : 599,767 = 599,767 : x
  2. Step 2: Convert to fraction form
    289,939/599,767 = 599,767/x
  3. Step 3: Cross multiply
    289,939x = 599,767 × 599,767
  4. Step 4: Simplify right side
    289,939x = 359,720,454,289
  5. Step 5: Solve for x
    x = 359,720,454,289/289,939
  6. Step 6: Final answer
    x = 1,240,676.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.