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Finding the Third Proportional to 415,400 and 622,406

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Solution

The third proportional to 415,400 and 622,406 is: 932,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,400 : 622,406 = 622,406 : x
  2. Step 2: Convert to fraction form
    415,400/622,406 = 622,406/x
  3. Step 3: Cross multiply
    415,400x = 622,406 × 622,406
  4. Step 4: Simplify right side
    415,400x = 387,389,228,836
  5. Step 5: Solve for x
    x = 387,389,228,836/415,400
  6. Step 6: Final answer
    x = 932,569.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.