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Finding the Third Proportional to 3,283.88 and 5,046.47

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Solution

The third proportional to 3,283.88 and 5,046.47 is: 7,755.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.88 : 5,046.47 = 5,046.47 : x
  2. Step 2: Convert to fraction form
    3,283.88/5,046.47 = 5,046.47/x
  3. Step 3: Cross multiply
    3,283.88x = 5,046.47 × 5,046.47
  4. Step 4: Simplify right side
    3,283.88x = 25,466,846.84
  5. Step 5: Solve for x
    x = 25,466,846.84/3,283.88
  6. Step 6: Final answer
    x = 7,755.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.