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Finding the Third Proportional to 744.29 and 1,634.45

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Solution

The third proportional to 744.29 and 1,634.45 is: 3,589.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.29 : 1,634.45 = 1,634.45 : x
  2. Step 2: Convert to fraction form
    744.29/1,634.45 = 1,634.45/x
  3. Step 3: Cross multiply
    744.29x = 1,634.45 × 1,634.45
  4. Step 4: Simplify right side
    744.29x = 2,671,424.25
  5. Step 5: Solve for x
    x = 2,671,424.25/744.29
  6. Step 6: Final answer
    x = 3,589.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.