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Finding the Third Proportional to 319,674 and 689,208

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Solution

The third proportional to 319,674 and 689,208 is: 1,485,912.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,674 : 689,208 = 689,208 : x
  2. Step 2: Convert to fraction form
    319,674/689,208 = 689,208/x
  3. Step 3: Cross multiply
    319,674x = 689,208 × 689,208
  4. Step 4: Simplify right side
    319,674x = 475,007,667,264
  5. Step 5: Solve for x
    x = 475,007,667,264/319,674
  6. Step 6: Final answer
    x = 1,485,912.73

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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.