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Finding the Third Proportional to 129.28 and 143.06

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Solution

The third proportional to 129.28 and 143.06 is: 158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.28 : 143.06 = 143.06 : x
  2. Step 2: Convert to fraction form
    129.28/143.06 = 143.06/x
  3. Step 3: Cross multiply
    129.28x = 143.06 × 143.06
  4. Step 4: Simplify right side
    129.28x = 20,466.88
  5. Step 5: Solve for x
    x = 20,466.88/129.28
  6. Step 6: Final answer
    x = 158.31

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.