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Finding the Third Proportional to 344,676 and 720,744

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Solution

The third proportional to 344,676 and 720,744 is: 1,507,131.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,676 : 720,744 = 720,744 : x
  2. Step 2: Convert to fraction form
    344,676/720,744 = 720,744/x
  3. Step 3: Cross multiply
    344,676x = 720,744 × 720,744
  4. Step 4: Simplify right side
    344,676x = 519,471,913,536
  5. Step 5: Solve for x
    x = 519,471,913,536/344,676
  6. Step 6: Final answer
    x = 1,507,131.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.