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Finding the Third Proportional to 419,043 and 648,720

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Solution

The third proportional to 419,043 and 648,720 is: 1,004,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,043 : 648,720 = 648,720 : x
  2. Step 2: Convert to fraction form
    419,043/648,720 = 648,720/x
  3. Step 3: Cross multiply
    419,043x = 648,720 × 648,720
  4. Step 4: Simplify right side
    419,043x = 420,837,638,400
  5. Step 5: Solve for x
    x = 420,837,638,400/419,043
  6. Step 6: Final answer
    x = 1,004,282.71

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Why These Related Problems?

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