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Finding the Third Proportional to 129.87 and 279.35

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Solution

The third proportional to 129.87 and 279.35 is: 600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.87 : 279.35 = 279.35 : x
  2. Step 2: Convert to fraction form
    129.87/279.35 = 279.35/x
  3. Step 3: Cross multiply
    129.87x = 279.35 × 279.35
  4. Step 4: Simplify right side
    129.87x = 78,037.30
  5. Step 5: Solve for x
    x = 78,037.30/129.87
  6. Step 6: Final answer
    x = 600.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.