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Finding the Third Proportional to 156,934 and 339,971

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Solution

The third proportional to 156,934 and 339,971 is: 736,489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,934 : 339,971 = 339,971 : x
  2. Step 2: Convert to fraction form
    156,934/339,971 = 339,971/x
  3. Step 3: Cross multiply
    156,934x = 339,971 × 339,971
  4. Step 4: Simplify right side
    156,934x = 115,580,280,841
  5. Step 5: Solve for x
    x = 115,580,280,841/156,934
  6. Step 6: Final answer
    x = 736,489.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.