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Finding the Third Proportional to 218,608 and 515,848

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Solution

The third proportional to 218,608 and 515,848 is: 1,217,243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,608 : 515,848 = 515,848 : x
  2. Step 2: Convert to fraction form
    218,608/515,848 = 515,848/x
  3. Step 3: Cross multiply
    218,608x = 515,848 × 515,848
  4. Step 4: Simplify right side
    218,608x = 266,099,159,104
  5. Step 5: Solve for x
    x = 266,099,159,104/218,608
  6. Step 6: Final answer
    x = 1,217,243.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.