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Finding the Third Proportional to 344.94 and 725.31

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Solution

The third proportional to 344.94 and 725.31 is: 1,525.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.94 : 725.31 = 725.31 : x
  2. Step 2: Convert to fraction form
    344.94/725.31 = 725.31/x
  3. Step 3: Cross multiply
    344.94x = 725.31 × 725.31
  4. Step 4: Simplify right side
    344.94x = 526,078.22
  5. Step 5: Solve for x
    x = 526,078.22/344.94
  6. Step 6: Final answer
    x = 1,525.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.