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Finding the Third Proportional to 241,584 and 399,278

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Solution

The third proportional to 241,584 and 399,278 is: 659,906.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,584 : 399,278 = 399,278 : x
  2. Step 2: Convert to fraction form
    241,584/399,278 = 399,278/x
  3. Step 3: Cross multiply
    241,584x = 399,278 × 399,278
  4. Step 4: Simplify right side
    241,584x = 159,422,921,284
  5. Step 5: Solve for x
    x = 159,422,921,284/241,584
  6. Step 6: Final answer
    x = 659,906.79

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.