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Finding the Third Proportional to 383,886 and 840,348

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Solution

The third proportional to 383,886 and 840,348 is: 1,839,568.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,886 : 840,348 = 840,348 : x
  2. Step 2: Convert to fraction form
    383,886/840,348 = 840,348/x
  3. Step 3: Cross multiply
    383,886x = 840,348 × 840,348
  4. Step 4: Simplify right side
    383,886x = 706,184,761,104
  5. Step 5: Solve for x
    x = 706,184,761,104/383,886
  6. Step 6: Final answer
    x = 1,839,568.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.