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Finding the Third Proportional to 75.65 and 164.03

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Solution

The third proportional to 75.65 and 164.03 is: 355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.65 : 164.03 = 164.03 : x
  2. Step 2: Convert to fraction form
    75.65/164.03 = 164.03/x
  3. Step 3: Cross multiply
    75.65x = 164.03 × 164.03
  4. Step 4: Simplify right side
    75.65x = 26,905.93
  5. Step 5: Solve for x
    x = 26,905.93/75.65
  6. Step 6: Final answer
    x = 355.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.