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Finding the Third Proportional to 318.76 and 675.96

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Solution

The third proportional to 318.76 and 675.96 is: 1,433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.76 : 675.96 = 675.96 : x
  2. Step 2: Convert to fraction form
    318.76/675.96 = 675.96/x
  3. Step 3: Cross multiply
    318.76x = 675.96 × 675.96
  4. Step 4: Simplify right side
    318.76x = 456,925.17
  5. Step 5: Solve for x
    x = 456,925.17/318.76
  6. Step 6: Final answer
    x = 1,433.45

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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.