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Finding the Third Proportional to 156,937 and 339,945

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Solution

The third proportional to 156,937 and 339,945 is: 736,363.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,937 : 339,945 = 339,945 : x
  2. Step 2: Convert to fraction form
    156,937/339,945 = 339,945/x
  3. Step 3: Cross multiply
    156,937x = 339,945 × 339,945
  4. Step 4: Simplify right side
    156,937x = 115,562,603,025
  5. Step 5: Solve for x
    x = 115,562,603,025/156,937
  6. Step 6: Final answer
    x = 736,363.02

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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.