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Finding the Third Proportional to 201,833 and 443,026

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Solution

The third proportional to 201,833 and 443,026 is: 972,447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,833 : 443,026 = 443,026 : x
  2. Step 2: Convert to fraction form
    201,833/443,026 = 443,026/x
  3. Step 3: Cross multiply
    201,833x = 443,026 × 443,026
  4. Step 4: Simplify right side
    201,833x = 196,272,036,676
  5. Step 5: Solve for x
    x = 196,272,036,676/201,833
  6. Step 6: Final answer
    x = 972,447.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.