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Finding the Third Proportional to 319,678 and 689,162

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Solution

The third proportional to 319,678 and 689,162 is: 1,485,695.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,678 : 689,162 = 689,162 : x
  2. Step 2: Convert to fraction form
    319,678/689,162 = 689,162/x
  3. Step 3: Cross multiply
    319,678x = 689,162 × 689,162
  4. Step 4: Simplify right side
    319,678x = 474,944,262,244
  5. Step 5: Solve for x
    x = 474,944,262,244/319,678
  6. Step 6: Final answer
    x = 1,485,695.80

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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.