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Finding the Third Proportional to 75.15 and 164.21

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Solution

The third proportional to 75.15 and 164.21 is: 358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.15 : 164.21 = 164.21 : x
  2. Step 2: Convert to fraction form
    75.15/164.21 = 164.21/x
  3. Step 3: Cross multiply
    75.15x = 164.21 × 164.21
  4. Step 4: Simplify right side
    75.15x = 26,966.51
  5. Step 5: Solve for x
    x = 26,966.51/75.15
  6. Step 6: Final answer
    x = 358.85

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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.