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Finding the Third Proportional to 321.75 and 702.98

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Solution

The third proportional to 321.75 and 702.98 is: 1,535.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.75 : 702.98 = 702.98 : x
  2. Step 2: Convert to fraction form
    321.75/702.98 = 702.98/x
  3. Step 3: Cross multiply
    321.75x = 702.98 × 702.98
  4. Step 4: Simplify right side
    321.75x = 494,187.03
  5. Step 5: Solve for x
    x = 494,187.03/321.75
  6. Step 6: Final answer
    x = 1,535.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.