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Finding the Third Proportional to 3,407 and 7,255

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Solution

The third proportional to 3,407 and 7,255 is: 15,449.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407 : 7,255 = 7,255 : x
  2. Step 2: Convert to fraction form
    3,407/7,255 = 7,255/x
  3. Step 3: Cross multiply
    3,407x = 7,255 × 7,255
  4. Step 4: Simplify right side
    3,407x = 52,635,025
  5. Step 5: Solve for x
    x = 52,635,025/3,407
  6. Step 6: Final answer
    x = 15,449.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.