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Finding the Third Proportional to 103.13 and 164.06

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Solution

The third proportional to 103.13 and 164.06 is: 261.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.13 : 164.06 = 164.06 : x
  2. Step 2: Convert to fraction form
    103.13/164.06 = 164.06/x
  3. Step 3: Cross multiply
    103.13x = 164.06 × 164.06
  4. Step 4: Simplify right side
    103.13x = 26,916.50
  5. Step 5: Solve for x
    x = 26,916.50/103.13
  6. Step 6: Final answer
    x = 261.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.