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Finding the Third Proportional to 469,969 and 685,149

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Solution

The third proportional to 469,969 and 685,149 is: 998,851.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,969 : 685,149 = 685,149 : x
  2. Step 2: Convert to fraction form
    469,969/685,149 = 685,149/x
  3. Step 3: Cross multiply
    469,969x = 685,149 × 685,149
  4. Step 4: Simplify right side
    469,969x = 469,429,152,201
  5. Step 5: Solve for x
    x = 469,429,152,201/469,969
  6. Step 6: Final answer
    x = 998,851.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.