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Finding the Third Proportional to 318.50 and 675.63

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Solution

The third proportional to 318.50 and 675.63 is: 1,433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.50 : 675.63 = 675.63 : x
  2. Step 2: Convert to fraction form
    318.50/675.63 = 675.63/x
  3. Step 3: Cross multiply
    318.50x = 675.63 × 675.63
  4. Step 4: Simplify right side
    318.50x = 456,469.14
  5. Step 5: Solve for x
    x = 456,469.14/318.50
  6. Step 6: Final answer
    x = 1,433.18

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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.