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Finding the Third Proportional to 422,816 and 654,819

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Solution

The third proportional to 422,816 and 654,819 is: 1,014,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,816 : 654,819 = 654,819 : x
  2. Step 2: Convert to fraction form
    422,816/654,819 = 654,819/x
  3. Step 3: Cross multiply
    422,816x = 654,819 × 654,819
  4. Step 4: Simplify right side
    422,816x = 428,787,922,761
  5. Step 5: Solve for x
    x = 428,787,922,761/422,816
  6. Step 6: Final answer
    x = 1,014,124.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.