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Finding the Third Proportional to 291,144 and 617,279

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Solution

The third proportional to 291,144 and 617,279 is: 1,308,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,144 : 617,279 = 617,279 : x
  2. Step 2: Convert to fraction form
    291,144/617,279 = 617,279/x
  3. Step 3: Cross multiply
    291,144x = 617,279 × 617,279
  4. Step 4: Simplify right side
    291,144x = 381,033,363,841
  5. Step 5: Solve for x
    x = 381,033,363,841/291,144
  6. Step 6: Final answer
    x = 1,308,745.38

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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.