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Finding the Third Proportional to 102.84 and 164.48

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Solution

The third proportional to 102.84 and 164.48 is: 263.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.84 : 164.48 = 164.48 : x
  2. Step 2: Convert to fraction form
    102.84/164.48 = 164.48/x
  3. Step 3: Cross multiply
    102.84x = 164.48 × 164.48
  4. Step 4: Simplify right side
    102.84x = 27,055.11
  5. Step 5: Solve for x
    x = 27,055.11/102.84
  6. Step 6: Final answer
    x = 263.07

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.