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Finding the Third Proportional to 748.41 and 1,578.02

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Solution

The third proportional to 748.41 and 1,578.02 is: 3,327.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.41 : 1,578.02 = 1,578.02 : x
  2. Step 2: Convert to fraction form
    748.41/1,578.02 = 1,578.02/x
  3. Step 3: Cross multiply
    748.41x = 1,578.02 × 1,578.02
  4. Step 4: Simplify right side
    748.41x = 2,490,157.97
  5. Step 5: Solve for x
    x = 2,490,157.97/748.41
  6. Step 6: Final answer
    x = 3,327.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.