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Finding the Third Proportional to 311,840 and 685,052

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Solution

The third proportional to 311,840 and 685,052 is: 1,504,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,840 : 685,052 = 685,052 : x
  2. Step 2: Convert to fraction form
    311,840/685,052 = 685,052/x
  3. Step 3: Cross multiply
    311,840x = 685,052 × 685,052
  4. Step 4: Simplify right side
    311,840x = 469,296,242,704
  5. Step 5: Solve for x
    x = 469,296,242,704/311,840
  6. Step 6: Final answer
    x = 1,504,926.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.