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Finding the Third Proportional to 733,450 and 1,121,978

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Solution

The third proportional to 733,450 and 1,121,978 is: 1,716,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,450 : 1,121,978 = 1,121,978 : x
  2. Step 2: Convert to fraction form
    733,450/1,121,978 = 1,121,978/x
  3. Step 3: Cross multiply
    733,450x = 1,121,978 × 1,121,978
  4. Step 4: Simplify right side
    733,450x = 1,258,834,632,484
  5. Step 5: Solve for x
    x = 1,258,834,632,484/733,450
  6. Step 6: Final answer
    x = 1,716,319.63

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.