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Finding the Third Proportional to 146.81 and 316.41

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Solution

The third proportional to 146.81 and 316.41 is: 681.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.81 : 316.41 = 316.41 : x
  2. Step 2: Convert to fraction form
    146.81/316.41 = 316.41/x
  3. Step 3: Cross multiply
    146.81x = 316.41 × 316.41
  4. Step 4: Simplify right side
    146.81x = 100,112.92
  5. Step 5: Solve for x
    x = 100,112.92/146.81
  6. Step 6: Final answer
    x = 681.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.