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Finding the Third Proportional to 411,290 and 622,120

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Solution

The third proportional to 411,290 and 622,120 is: 941,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,290 : 622,120 = 622,120 : x
  2. Step 2: Convert to fraction form
    411,290/622,120 = 622,120/x
  3. Step 3: Cross multiply
    411,290x = 622,120 × 622,120
  4. Step 4: Simplify right side
    411,290x = 387,033,294,400
  5. Step 5: Solve for x
    x = 387,033,294,400/411,290
  6. Step 6: Final answer
    x = 941,022.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.