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Finding the Third Proportional to 422,584 and 920,984

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Solution

The third proportional to 422,584 and 920,984 is: 2,007,202.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,584 : 920,984 = 920,984 : x
  2. Step 2: Convert to fraction form
    422,584/920,984 = 920,984/x
  3. Step 3: Cross multiply
    422,584x = 920,984 × 920,984
  4. Step 4: Simplify right side
    422,584x = 848,211,528,256
  5. Step 5: Solve for x
    x = 848,211,528,256/422,584
  6. Step 6: Final answer
    x = 2,007,202.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.