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Finding the Third Proportional to 638,526 and 1,373,917

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Solution

The third proportional to 638,526 and 1,373,917 is: 2,956,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,526 : 1,373,917 = 1,373,917 : x
  2. Step 2: Convert to fraction form
    638,526/1,373,917 = 1,373,917/x
  3. Step 3: Cross multiply
    638,526x = 1,373,917 × 1,373,917
  4. Step 4: Simplify right side
    638,526x = 1,887,647,922,889
  5. Step 5: Solve for x
    x = 1,887,647,922,889/638,526
  6. Step 6: Final answer
    x = 2,956,258.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.