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Finding the Third Proportional to 279.69 and 611.31

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Solution

The third proportional to 279.69 and 611.31 is: 1,336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.69 : 611.31 = 611.31 : x
  2. Step 2: Convert to fraction form
    279.69/611.31 = 611.31/x
  3. Step 3: Cross multiply
    279.69x = 611.31 × 611.31
  4. Step 4: Simplify right side
    279.69x = 373,702.97
  5. Step 5: Solve for x
    x = 373,702.97/279.69
  6. Step 6: Final answer
    x = 1,336.14

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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.