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Finding the Third Proportional to 164.42 and 354.48

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Solution

The third proportional to 164.42 and 354.48 is: 764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.42 : 354.48 = 354.48 : x
  2. Step 2: Convert to fraction form
    164.42/354.48 = 354.48/x
  3. Step 3: Cross multiply
    164.42x = 354.48 × 354.48
  4. Step 4: Simplify right side
    164.42x = 125,653.63
  5. Step 5: Solve for x
    x = 125,653.63/164.42
  6. Step 6: Final answer
    x = 764.21

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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.