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Finding the Third Proportional to 418,125 and 628,129.50

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Solution

The third proportional to 418,125 and 628,129.50 is: 943,609.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,125 : 628,129.50 = 628,129.50 : x
  2. Step 2: Convert to fraction form
    418,125/628,129.50 = 628,129.50/x
  3. Step 3: Cross multiply
    418,125x = 628,129.50 × 628,129.50
  4. Step 4: Simplify right side
    418,125x = 394,546,668,770.25
  5. Step 5: Solve for x
    x = 394,546,668,770.25/418,125
  6. Step 6: Final answer
    x = 943,609.37

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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.