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Finding the Third Proportional to 129.14 and 172.03

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Solution

The third proportional to 129.14 and 172.03 is: 229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.14 : 172.03 = 172.03 : x
  2. Step 2: Convert to fraction form
    129.14/172.03 = 172.03/x
  3. Step 3: Cross multiply
    129.14x = 172.03 × 172.03
  4. Step 4: Simplify right side
    129.14x = 29,594.75
  5. Step 5: Solve for x
    x = 29,594.75/129.14
  6. Step 6: Final answer
    x = 229.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.