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Finding the Third Proportional to 280,816 and 605,916

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Solution

The third proportional to 280,816 and 605,916 is: 1,307,383.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,816 : 605,916 = 605,916 : x
  2. Step 2: Convert to fraction form
    280,816/605,916 = 605,916/x
  3. Step 3: Cross multiply
    280,816x = 605,916 × 605,916
  4. Step 4: Simplify right side
    280,816x = 367,134,199,056
  5. Step 5: Solve for x
    x = 367,134,199,056/280,816
  6. Step 6: Final answer
    x = 1,307,383.48

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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.