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Finding the Third Proportional to 75.19 and 164.31

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Solution

The third proportional to 75.19 and 164.31 is: 359.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.19 : 164.31 = 164.31 : x
  2. Step 2: Convert to fraction form
    75.19/164.31 = 164.31/x
  3. Step 3: Cross multiply
    75.19x = 164.31 × 164.31
  4. Step 4: Simplify right side
    75.19x = 26,998.60
  5. Step 5: Solve for x
    x = 26,998.60/75.19
  6. Step 6: Final answer
    x = 359.08

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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.