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Finding the Third Proportional to 288,923 and 622,315

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Solution

The third proportional to 288,923 and 622,315 is: 1,340,412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,923 : 622,315 = 622,315 : x
  2. Step 2: Convert to fraction form
    288,923/622,315 = 622,315/x
  3. Step 3: Cross multiply
    288,923x = 622,315 × 622,315
  4. Step 4: Simplify right side
    288,923x = 387,275,959,225
  5. Step 5: Solve for x
    x = 387,275,959,225/288,923
  6. Step 6: Final answer
    x = 1,340,412.36

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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.