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Finding the Third Proportional to 3,285 and 5,030.50

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Solution

The third proportional to 3,285 and 5,030.50 is: 7,703.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285 : 5,030.50 = 5,030.50 : x
  2. Step 2: Convert to fraction form
    3,285/5,030.50 = 5,030.50/x
  3. Step 3: Cross multiply
    3,285x = 5,030.50 × 5,030.50
  4. Step 4: Simplify right side
    3,285x = 25,305,930.25
  5. Step 5: Solve for x
    x = 25,305,930.25/3,285
  6. Step 6: Final answer
    x = 7,703.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.