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Finding the Third Proportional to 164.25 and 243.19

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Solution

The third proportional to 164.25 and 243.19 is: 360.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.25 : 243.19 = 243.19 : x
  2. Step 2: Convert to fraction form
    164.25/243.19 = 243.19/x
  3. Step 3: Cross multiply
    164.25x = 243.19 × 243.19
  4. Step 4: Simplify right side
    164.25x = 59,140.16
  5. Step 5: Solve for x
    x = 59,140.16/164.25
  6. Step 6: Final answer
    x = 360.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.