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Finding the Third Proportional to 159,318 and 347,621

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Solution

The third proportional to 159,318 and 347,621 is: 758,485.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,318 : 347,621 = 347,621 : x
  2. Step 2: Convert to fraction form
    159,318/347,621 = 347,621/x
  3. Step 3: Cross multiply
    159,318x = 347,621 × 347,621
  4. Step 4: Simplify right side
    159,318x = 120,840,359,641
  5. Step 5: Solve for x
    x = 120,840,359,641/159,318
  6. Step 6: Final answer
    x = 758,485.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.