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Finding the Third Proportional to 490,708 and 738,498

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Solution

The third proportional to 490,708 and 738,498 is: 1,111,413.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,708 : 738,498 = 738,498 : x
  2. Step 2: Convert to fraction form
    490,708/738,498 = 738,498/x
  3. Step 3: Cross multiply
    490,708x = 738,498 × 738,498
  4. Step 4: Simplify right side
    490,708x = 545,379,296,004
  5. Step 5: Solve for x
    x = 545,379,296,004/490,708
  6. Step 6: Final answer
    x = 1,111,413.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.