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Finding the Third Proportional to 3,291 and 5,057.63

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Solution

The third proportional to 3,291 and 5,057.63 is: 7,772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291 : 5,057.63 = 5,057.63 : x
  2. Step 2: Convert to fraction form
    3,291/5,057.63 = 5,057.63/x
  3. Step 3: Cross multiply
    3,291x = 5,057.63 × 5,057.63
  4. Step 4: Simplify right side
    3,291x = 25,579,570.64
  5. Step 5: Solve for x
    x = 25,579,570.64/3,291
  6. Step 6: Final answer
    x = 7,772.58

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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.