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Finding the Third Proportional to 291,138 and 617,268

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Solution

The third proportional to 291,138 and 617,268 is: 1,308,725.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,138 : 617,268 = 617,268 : x
  2. Step 2: Convert to fraction form
    291,138/617,268 = 617,268/x
  3. Step 3: Cross multiply
    291,138x = 617,268 × 617,268
  4. Step 4: Simplify right side
    291,138x = 381,019,783,824
  5. Step 5: Solve for x
    x = 381,019,783,824/291,138
  6. Step 6: Final answer
    x = 1,308,725.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.