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Finding the Third Proportional to 299,189 and 648,223

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Solution

The third proportional to 299,189 and 648,223 is: 1,404,440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,189 : 648,223 = 648,223 : x
  2. Step 2: Convert to fraction form
    299,189/648,223 = 648,223/x
  3. Step 3: Cross multiply
    299,189x = 648,223 × 648,223
  4. Step 4: Simplify right side
    299,189x = 420,193,057,729
  5. Step 5: Solve for x
    x = 420,193,057,729/299,189
  6. Step 6: Final answer
    x = 1,404,440.20

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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.