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Finding the Third Proportional to 479,138 and 718,647

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Solution

The third proportional to 479,138 and 718,647 is: 1,077,880.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,138 : 718,647 = 718,647 : x
  2. Step 2: Convert to fraction form
    479,138/718,647 = 718,647/x
  3. Step 3: Cross multiply
    479,138x = 718,647 × 718,647
  4. Step 4: Simplify right side
    479,138x = 516,453,510,609
  5. Step 5: Solve for x
    x = 516,453,510,609/479,138
  6. Step 6: Final answer
    x = 1,077,880.51

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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.