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Finding the Third Proportional to 638,530 and 1,373,925

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Solution

The third proportional to 638,530 and 1,373,925 is: 2,956,274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,530 : 1,373,925 = 1,373,925 : x
  2. Step 2: Convert to fraction form
    638,530/1,373,925 = 1,373,925/x
  3. Step 3: Cross multiply
    638,530x = 1,373,925 × 1,373,925
  4. Step 4: Simplify right side
    638,530x = 1,887,669,905,625
  5. Step 5: Solve for x
    x = 1,887,669,905,625/638,530
  6. Step 6: Final answer
    x = 2,956,274.42

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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.