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Finding the Third Proportional to 490,718 and 738,533

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Solution

The third proportional to 490,718 and 738,533 is: 1,111,495.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,718 : 738,533 = 738,533 : x
  2. Step 2: Convert to fraction form
    490,718/738,533 = 738,533/x
  3. Step 3: Cross multiply
    490,718x = 738,533 × 738,533
  4. Step 4: Simplify right side
    490,718x = 545,430,992,089
  5. Step 5: Solve for x
    x = 545,430,992,089/490,718
  6. Step 6: Final answer
    x = 1,111,495.79

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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.