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Finding the Third Proportional to 171,078 and 411,627

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Solution

The third proportional to 171,078 and 411,627 is: 990,406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,078 : 411,627 = 411,627 : x
  2. Step 2: Convert to fraction form
    171,078/411,627 = 411,627/x
  3. Step 3: Cross multiply
    171,078x = 411,627 × 411,627
  4. Step 4: Simplify right side
    171,078x = 169,436,787,129
  5. Step 5: Solve for x
    x = 169,436,787,129/171,078
  6. Step 6: Final answer
    x = 990,406.64

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.