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Finding the Third Proportional to 419,043 and 648,717

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Solution

The third proportional to 419,043 and 648,717 is: 1,004,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,043 : 648,717 = 648,717 : x
  2. Step 2: Convert to fraction form
    419,043/648,717 = 648,717/x
  3. Step 3: Cross multiply
    419,043x = 648,717 × 648,717
  4. Step 4: Simplify right side
    419,043x = 420,833,746,089
  5. Step 5: Solve for x
    x = 420,833,746,089/419,043
  6. Step 6: Final answer
    x = 1,004,273.42

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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.