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Finding the Third Proportional to 351.94 and 407.02

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Solution

The third proportional to 351.94 and 407.02 is: 470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.94 : 407.02 = 407.02 : x
  2. Step 2: Convert to fraction form
    351.94/407.02 = 407.02/x
  3. Step 3: Cross multiply
    351.94x = 407.02 × 407.02
  4. Step 4: Simplify right side
    351.94x = 165,661.72
  5. Step 5: Solve for x
    x = 165,661.72/351.94
  6. Step 6: Final answer
    x = 470.71

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.