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Finding the Third Proportional to 1,351.92 and 3,415.76

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Solution

The third proportional to 1,351.92 and 3,415.76 is: 8,630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.92 : 3,415.76 = 3,415.76 : x
  2. Step 2: Convert to fraction form
    1,351.92/3,415.76 = 3,415.76/x
  3. Step 3: Cross multiply
    1,351.92x = 3,415.76 × 3,415.76
  4. Step 4: Simplify right side
    1,351.92x = 11,667,441.46
  5. Step 5: Solve for x
    x = 11,667,441.46/1,351.92
  6. Step 6: Final answer
    x = 8,630.24

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.