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Finding the Third Proportional to 201,343 and 281,639

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Solution

The third proportional to 201,343 and 281,639 is: 393,957.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,343 : 281,639 = 281,639 : x
  2. Step 2: Convert to fraction form
    201,343/281,639 = 281,639/x
  3. Step 3: Cross multiply
    201,343x = 281,639 × 281,639
  4. Step 4: Simplify right side
    201,343x = 79,320,526,321
  5. Step 5: Solve for x
    x = 79,320,526,321/201,343
  6. Step 6: Final answer
    x = 393,957.21

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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.