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Finding the Third Proportional to 311,820 and 685,011

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Solution

The third proportional to 311,820 and 685,011 is: 1,504,842.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,820 : 685,011 = 685,011 : x
  2. Step 2: Convert to fraction form
    311,820/685,011 = 685,011/x
  3. Step 3: Cross multiply
    311,820x = 685,011 × 685,011
  4. Step 4: Simplify right side
    311,820x = 469,240,070,121
  5. Step 5: Solve for x
    x = 469,240,070,121/311,820
  6. Step 6: Final answer
    x = 1,504,842.76

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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.