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Finding the Third Proportional to 411,292 and 622,123

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Solution

The third proportional to 411,292 and 622,123 is: 941,027.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,292 : 622,123 = 622,123 : x
  2. Step 2: Convert to fraction form
    411,292/622,123 = 622,123/x
  3. Step 3: Cross multiply
    411,292x = 622,123 × 622,123
  4. Step 4: Simplify right side
    411,292x = 387,037,027,129
  5. Step 5: Solve for x
    x = 387,037,027,129/411,292
  6. Step 6: Final answer
    x = 941,027.37

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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.