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Finding the Third Proportional to 638,874 and 1,366,392

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Solution

The third proportional to 638,874 and 1,366,392 is: 2,922,371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,874 : 1,366,392 = 1,366,392 : x
  2. Step 2: Convert to fraction form
    638,874/1,366,392 = 1,366,392/x
  3. Step 3: Cross multiply
    638,874x = 1,366,392 × 1,366,392
  4. Step 4: Simplify right side
    638,874x = 1,867,027,097,664
  5. Step 5: Solve for x
    x = 1,867,027,097,664/638,874
  6. Step 6: Final answer
    x = 2,922,371.39

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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.