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Finding the Third Proportional to 205.69 and 373.88

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Solution

The third proportional to 205.69 and 373.88 is: 679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.69 : 373.88 = 373.88 : x
  2. Step 2: Convert to fraction form
    205.69/373.88 = 373.88/x
  3. Step 3: Cross multiply
    205.69x = 373.88 × 373.88
  4. Step 4: Simplify right side
    205.69x = 139,782.52
  5. Step 5: Solve for x
    x = 139,782.52/205.69
  6. Step 6: Final answer
    x = 679.59

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.