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Finding the Third Proportional to 3,248.44 and 4,801.78

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Solution

The third proportional to 3,248.44 and 4,801.78 is: 7,097.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.44 : 4,801.78 = 4,801.78 : x
  2. Step 2: Convert to fraction form
    3,248.44/4,801.78 = 4,801.78/x
  3. Step 3: Cross multiply
    3,248.44x = 4,801.78 × 4,801.78
  4. Step 4: Simplify right side
    3,248.44x = 23,057,103.17
  5. Step 5: Solve for x
    x = 23,057,103.17/3,248.44
  6. Step 6: Final answer
    x = 7,097.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.