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Finding the Third Proportional to 422,054 and 859,720

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Solution

The third proportional to 422,054 and 859,720 is: 1,751,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,054 : 859,720 = 859,720 : x
  2. Step 2: Convert to fraction form
    422,054/859,720 = 859,720/x
  3. Step 3: Cross multiply
    422,054x = 859,720 × 859,720
  4. Step 4: Simplify right side
    422,054x = 739,118,478,400
  5. Step 5: Solve for x
    x = 739,118,478,400/422,054
  6. Step 6: Final answer
    x = 1,751,241.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.