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Finding the Third Proportional to 1,351.72 and 2,905.49

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Solution

The third proportional to 1,351.72 and 2,905.49 is: 6,245.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.72 : 2,905.49 = 2,905.49 : x
  2. Step 2: Convert to fraction form
    1,351.72/2,905.49 = 2,905.49/x
  3. Step 3: Cross multiply
    1,351.72x = 2,905.49 × 2,905.49
  4. Step 4: Simplify right side
    1,351.72x = 8,441,862.15
  5. Step 5: Solve for x
    x = 8,441,862.15/1,351.72
  6. Step 6: Final answer
    x = 6,245.26

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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.