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Finding the Third Proportional to 306.44 and 670.81

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Solution

The third proportional to 306.44 and 670.81 is: 1,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.44 : 670.81 = 670.81 : x
  2. Step 2: Convert to fraction form
    306.44/670.81 = 670.81/x
  3. Step 3: Cross multiply
    306.44x = 670.81 × 670.81
  4. Step 4: Simplify right side
    306.44x = 449,989.41
  5. Step 5: Solve for x
    x = 449,989.41/306.44
  6. Step 6: Final answer
    x = 1,468.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.