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Finding the Third Proportional to 299,439 and 648,723

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Solution

The third proportional to 299,439 and 648,723 is: 1,405,433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,439 : 648,723 = 648,723 : x
  2. Step 2: Convert to fraction form
    299,439/648,723 = 648,723/x
  3. Step 3: Cross multiply
    299,439x = 648,723 × 648,723
  4. Step 4: Simplify right side
    299,439x = 420,841,530,729
  5. Step 5: Solve for x
    x = 420,841,530,729/299,439
  6. Step 6: Final answer
    x = 1,405,433.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.