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Finding the Third Proportional to 299,544 and 648,930

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Solution

The third proportional to 299,544 and 648,930 is: 1,405,837.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,544 : 648,930 = 648,930 : x
  2. Step 2: Convert to fraction form
    299,544/648,930 = 648,930/x
  3. Step 3: Cross multiply
    299,544x = 648,930 × 648,930
  4. Step 4: Simplify right side
    299,544x = 421,110,144,900
  5. Step 5: Solve for x
    x = 421,110,144,900/299,544
  6. Step 6: Final answer
    x = 1,405,837.36

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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.