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Finding the Third Proportional to 298,104 and 638,864

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Solution

The third proportional to 298,104 and 638,864 is: 1,369,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,104 : 638,864 = 638,864 : x
  2. Step 2: Convert to fraction form
    298,104/638,864 = 638,864/x
  3. Step 3: Cross multiply
    298,104x = 638,864 × 638,864
  4. Step 4: Simplify right side
    298,104x = 408,147,210,496
  5. Step 5: Solve for x
    x = 408,147,210,496/298,104
  6. Step 6: Final answer
    x = 1,369,143.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.