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Finding the Third Proportional to 156,958 and 339,187

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Solution

The third proportional to 156,958 and 339,187 is: 732,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,958 : 339,187 = 339,187 : x
  2. Step 2: Convert to fraction form
    156,958/339,187 = 339,187/x
  3. Step 3: Cross multiply
    156,958x = 339,187 × 339,187
  4. Step 4: Simplify right side
    156,958x = 115,047,820,969
  5. Step 5: Solve for x
    x = 115,047,820,969/156,958
  6. Step 6: Final answer
    x = 732,984.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.