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Finding the Third Proportional to 756.21 and 1,628.37

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Solution

The third proportional to 756.21 and 1,628.37 is: 3,506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.21 : 1,628.37 = 1,628.37 : x
  2. Step 2: Convert to fraction form
    756.21/1,628.37 = 1,628.37/x
  3. Step 3: Cross multiply
    756.21x = 1,628.37 × 1,628.37
  4. Step 4: Simplify right side
    756.21x = 2,651,579.70
  5. Step 5: Solve for x
    x = 2,651,579.70/756.21
  6. Step 6: Final answer
    x = 3,506.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.