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Finding the Third Proportional to 928.69 and 2,188.97

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Solution

The third proportional to 928.69 and 2,188.97 is: 5,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.69 : 2,188.97 = 2,188.97 : x
  2. Step 2: Convert to fraction form
    928.69/2,188.97 = 2,188.97/x
  3. Step 3: Cross multiply
    928.69x = 2,188.97 × 2,188.97
  4. Step 4: Simplify right side
    928.69x = 4,791,584.19
  5. Step 5: Solve for x
    x = 4,791,584.19/928.69
  6. Step 6: Final answer
    x = 5,159.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.