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Finding the Third Proportional to 490,781 and 736,172

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Solution

The third proportional to 490,781 and 736,172 is: 1,104,258.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,781 : 736,172 = 736,172 : x
  2. Step 2: Convert to fraction form
    490,781/736,172 = 736,172/x
  3. Step 3: Cross multiply
    490,781x = 736,172 × 736,172
  4. Step 4: Simplify right side
    490,781x = 541,949,213,584
  5. Step 5: Solve for x
    x = 541,949,213,584/490,781
  6. Step 6: Final answer
    x = 1,104,258.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.