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Finding the Third Proportional to 344.79 and 744.84

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Solution

The third proportional to 344.79 and 744.84 is: 1,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.79 : 744.84 = 744.84 : x
  2. Step 2: Convert to fraction form
    344.79/744.84 = 744.84/x
  3. Step 3: Cross multiply
    344.79x = 744.84 × 744.84
  4. Step 4: Simplify right side
    344.79x = 554,786.76
  5. Step 5: Solve for x
    x = 554,786.76/344.79
  6. Step 6: Final answer
    x = 1,609.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.