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Finding the Third Proportional to 344.81 and 743.06

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Solution

The third proportional to 344.81 and 743.06 is: 1,601.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.81 : 743.06 = 743.06 : x
  2. Step 2: Convert to fraction form
    344.81/743.06 = 743.06/x
  3. Step 3: Cross multiply
    344.81x = 743.06 × 743.06
  4. Step 4: Simplify right side
    344.81x = 552,141.88
  5. Step 5: Solve for x
    x = 552,141.88/344.81
  6. Step 6: Final answer
    x = 1,601.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.