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Finding the Third Proportional to 201,129 and 416,175

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Solution

The third proportional to 201,129 and 416,175 is: 861,146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,129 : 416,175 = 416,175 : x
  2. Step 2: Convert to fraction form
    201,129/416,175 = 416,175/x
  3. Step 3: Cross multiply
    201,129x = 416,175 × 416,175
  4. Step 4: Simplify right side
    201,129x = 173,201,630,625
  5. Step 5: Solve for x
    x = 173,201,630,625/201,129
  6. Step 6: Final answer
    x = 861,146.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.