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Finding the Third Proportional to 301,842 and 628,686

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Solution

The third proportional to 301,842 and 628,686 is: 1,309,446.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,842 : 628,686 = 628,686 : x
  2. Step 2: Convert to fraction form
    301,842/628,686 = 628,686/x
  3. Step 3: Cross multiply
    301,842x = 628,686 × 628,686
  4. Step 4: Simplify right side
    301,842x = 395,246,086,596
  5. Step 5: Solve for x
    x = 395,246,086,596/301,842
  6. Step 6: Final answer
    x = 1,309,446.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.