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Finding the Third Proportional to 319,203 and 685,447

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Solution

The third proportional to 319,203 and 685,447 is: 1,471,908.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,203 : 685,447 = 685,447 : x
  2. Step 2: Convert to fraction form
    319,203/685,447 = 685,447/x
  3. Step 3: Cross multiply
    319,203x = 685,447 × 685,447
  4. Step 4: Simplify right side
    319,203x = 469,837,589,809
  5. Step 5: Solve for x
    x = 469,837,589,809/319,203
  6. Step 6: Final answer
    x = 1,471,908.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.