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Finding the Third Proportional to 490,698 and 738,504

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Solution

The third proportional to 490,698 and 738,504 is: 1,111,453.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,698 : 738,504 = 738,504 : x
  2. Step 2: Convert to fraction form
    490,698/738,504 = 738,504/x
  3. Step 3: Cross multiply
    490,698x = 738,504 × 738,504
  4. Step 4: Simplify right side
    490,698x = 545,388,158,016
  5. Step 5: Solve for x
    x = 545,388,158,016/490,698
  6. Step 6: Final answer
    x = 1,111,453.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.