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Finding the Third Proportional to 419,028 and 648,699

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Solution

The third proportional to 419,028 and 648,699 is: 1,004,253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,028 : 648,699 = 648,699 : x
  2. Step 2: Convert to fraction form
    419,028/648,699 = 648,699/x
  3. Step 3: Cross multiply
    419,028x = 648,699 × 648,699
  4. Step 4: Simplify right side
    419,028x = 420,810,392,601
  5. Step 5: Solve for x
    x = 420,810,392,601/419,028
  6. Step 6: Final answer
    x = 1,004,253.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.