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Finding the Third Proportional to 643.78 and 1,528.97

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Solution

The third proportional to 643.78 and 1,528.97 is: 3,631.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.78 : 1,528.97 = 1,528.97 : x
  2. Step 2: Convert to fraction form
    643.78/1,528.97 = 1,528.97/x
  3. Step 3: Cross multiply
    643.78x = 1,528.97 × 1,528.97
  4. Step 4: Simplify right side
    643.78x = 2,337,745.44
  5. Step 5: Solve for x
    x = 2,337,745.44/643.78
  6. Step 6: Final answer
    x = 3,631.27

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.