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Finding the Third Proportional to 313.73 and 675.98

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Solution

The third proportional to 313.73 and 675.98 is: 1,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.73 : 675.98 = 675.98 : x
  2. Step 2: Convert to fraction form
    313.73/675.98 = 675.98/x
  3. Step 3: Cross multiply
    313.73x = 675.98 × 675.98
  4. Step 4: Simplify right side
    313.73x = 456,954.88
  5. Step 5: Solve for x
    x = 456,954.88/313.73
  6. Step 6: Final answer
    x = 1,456.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.