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Finding the Third Proportional to 129.44 and 202.03

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Solution

The third proportional to 129.44 and 202.03 is: 315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.44 : 202.03 = 202.03 : x
  2. Step 2: Convert to fraction form
    129.44/202.03 = 202.03/x
  3. Step 3: Cross multiply
    129.44x = 202.03 × 202.03
  4. Step 4: Simplify right side
    129.44x = 40,816.63
  5. Step 5: Solve for x
    x = 40,816.63/129.44
  6. Step 6: Final answer
    x = 315.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.