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Finding the Third Proportional to 128.06 and 279.89

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Solution

The third proportional to 128.06 and 279.89 is: 611.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.06 : 279.89 = 279.89 : x
  2. Step 2: Convert to fraction form
    128.06/279.89 = 279.89/x
  3. Step 3: Cross multiply
    128.06x = 279.89 × 279.89
  4. Step 4: Simplify right side
    128.06x = 78,338.76
  5. Step 5: Solve for x
    x = 78,338.76/128.06
  6. Step 6: Final answer
    x = 611.72

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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.