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Finding the Third Proportional to 201,163 and 281,948

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Solution

The third proportional to 201,163 and 281,948 is: 395,175.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,163 : 281,948 = 281,948 : x
  2. Step 2: Convert to fraction form
    201,163/281,948 = 281,948/x
  3. Step 3: Cross multiply
    201,163x = 281,948 × 281,948
  4. Step 4: Simplify right side
    201,163x = 79,494,674,704
  5. Step 5: Solve for x
    x = 79,494,674,704/201,163
  6. Step 6: Final answer
    x = 395,175.43

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.