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Finding the Third Proportional to 280,708 and 613,912

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Solution

The third proportional to 280,708 and 613,912 is: 1,342,633.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,708 : 613,912 = 613,912 : x
  2. Step 2: Convert to fraction form
    280,708/613,912 = 613,912/x
  3. Step 3: Cross multiply
    280,708x = 613,912 × 613,912
  4. Step 4: Simplify right side
    280,708x = 376,887,943,744
  5. Step 5: Solve for x
    x = 376,887,943,744/280,708
  6. Step 6: Final answer
    x = 1,342,633.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.