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Finding the Third Proportional to 418,154 and 628,173

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Solution

The third proportional to 418,154 and 628,173 is: 943,674.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,154 : 628,173 = 628,173 : x
  2. Step 2: Convert to fraction form
    418,154/628,173 = 628,173/x
  3. Step 3: Cross multiply
    418,154x = 628,173 × 628,173
  4. Step 4: Simplify right side
    418,154x = 394,601,317,929
  5. Step 5: Solve for x
    x = 394,601,317,929/418,154
  6. Step 6: Final answer
    x = 943,674.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.