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Finding the Third Proportional to 331.44 and 715.55

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Solution

The third proportional to 331.44 and 715.55 is: 1,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.44 : 715.55 = 715.55 : x
  2. Step 2: Convert to fraction form
    331.44/715.55 = 715.55/x
  3. Step 3: Cross multiply
    331.44x = 715.55 × 715.55
  4. Step 4: Simplify right side
    331.44x = 512,015.72
  5. Step 5: Solve for x
    x = 512,015.72/331.44
  6. Step 6: Final answer
    x = 1,544.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.