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Finding the Third Proportional to 289,267 and 622,935

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Solution

The third proportional to 289,267 and 622,935 is: 1,341,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,267 : 622,935 = 622,935 : x
  2. Step 2: Convert to fraction form
    289,267/622,935 = 622,935/x
  3. Step 3: Cross multiply
    289,267x = 622,935 × 622,935
  4. Step 4: Simplify right side
    289,267x = 388,048,014,225
  5. Step 5: Solve for x
    x = 388,048,014,225/289,267
  6. Step 6: Final answer
    x = 1,341,487.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.