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Finding the Third Proportional to 129.59 and 283.44

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Solution

The third proportional to 129.59 and 283.44 is: 619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.59 : 283.44 = 283.44 : x
  2. Step 2: Convert to fraction form
    129.59/283.44 = 283.44/x
  3. Step 3: Cross multiply
    129.59x = 283.44 × 283.44
  4. Step 4: Simplify right side
    129.59x = 80,336.82
  5. Step 5: Solve for x
    x = 80,336.82/129.59
  6. Step 6: Final answer
    x = 619.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.