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Finding the Third Proportional to 69.61 and 164.21

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Solution

The third proportional to 69.61 and 164.21 is: 387.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.61 : 164.21 = 164.21 : x
  2. Step 2: Convert to fraction form
    69.61/164.21 = 164.21/x
  3. Step 3: Cross multiply
    69.61x = 164.21 × 164.21
  4. Step 4: Simplify right side
    69.61x = 26,966.51
  5. Step 5: Solve for x
    x = 26,966.51/69.61
  6. Step 6: Final answer
    x = 387.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.