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Finding the Third Proportional to 443,961 and 721,305

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Solution

The third proportional to 443,961 and 721,305 is: 1,171,906.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,961 : 721,305 = 721,305 : x
  2. Step 2: Convert to fraction form
    443,961/721,305 = 721,305/x
  3. Step 3: Cross multiply
    443,961x = 721,305 × 721,305
  4. Step 4: Simplify right side
    443,961x = 520,280,903,025
  5. Step 5: Solve for x
    x = 520,280,903,025/443,961
  6. Step 6: Final answer
    x = 1,171,906.77

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.