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Finding the Third Proportional to 156,408 and 343,918

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Solution

The third proportional to 156,408 and 343,918 is: 756,224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,408 : 343,918 = 343,918 : x
  2. Step 2: Convert to fraction form
    156,408/343,918 = 343,918/x
  3. Step 3: Cross multiply
    156,408x = 343,918 × 343,918
  4. Step 4: Simplify right side
    156,408x = 118,279,590,724
  5. Step 5: Solve for x
    x = 118,279,590,724/156,408
  6. Step 6: Final answer
    x = 756,224.69

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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.