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Finding the Third Proportional to 100.62 and 164.21

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Solution

The third proportional to 100.62 and 164.21 is: 268.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.62 : 164.21 = 164.21 : x
  2. Step 2: Convert to fraction form
    100.62/164.21 = 164.21/x
  3. Step 3: Cross multiply
    100.62x = 164.21 × 164.21
  4. Step 4: Simplify right side
    100.62x = 26,966.51
  5. Step 5: Solve for x
    x = 26,966.51/100.62
  6. Step 6: Final answer
    x = 268.01

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.