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Finding the Third Proportional to 490,619 and 724,993

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Solution

The third proportional to 490,619 and 724,993 is: 1,071,329.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,619 : 724,993 = 724,993 : x
  2. Step 2: Convert to fraction form
    490,619/724,993 = 724,993/x
  3. Step 3: Cross multiply
    490,619x = 724,993 × 724,993
  4. Step 4: Simplify right side
    490,619x = 525,614,850,049
  5. Step 5: Solve for x
    x = 525,614,850,049/490,619
  6. Step 6: Final answer
    x = 1,071,329.99

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.