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Finding the Third Proportional to 331.73 and 702.07

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Solution

The third proportional to 331.73 and 702.07 is: 1,485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.73 : 702.07 = 702.07 : x
  2. Step 2: Convert to fraction form
    331.73/702.07 = 702.07/x
  3. Step 3: Cross multiply
    331.73x = 702.07 × 702.07
  4. Step 4: Simplify right side
    331.73x = 492,902.72
  5. Step 5: Solve for x
    x = 492,902.72/331.73
  6. Step 6: Final answer
    x = 1,485.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.