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Finding the Third Proportional to 235,631 and 515,245

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Solution

The third proportional to 235,631 and 515,245 is: 1,126,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,631 : 515,245 = 515,245 : x
  2. Step 2: Convert to fraction form
    235,631/515,245 = 515,245/x
  3. Step 3: Cross multiply
    235,631x = 515,245 × 515,245
  4. Step 4: Simplify right side
    235,631x = 265,477,410,025
  5. Step 5: Solve for x
    x = 265,477,410,025/235,631
  6. Step 6: Final answer
    x = 1,126,665.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.