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Finding the Third Proportional to 240,099 and 515,189

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Solution

The third proportional to 240,099 and 515,189 is: 1,105,459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,099 : 515,189 = 515,189 : x
  2. Step 2: Convert to fraction form
    240,099/515,189 = 515,189/x
  3. Step 3: Cross multiply
    240,099x = 515,189 × 515,189
  4. Step 4: Simplify right side
    240,099x = 265,419,705,721
  5. Step 5: Solve for x
    x = 265,419,705,721/240,099
  6. Step 6: Final answer
    x = 1,105,459.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.