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Finding the Third Proportional to 5,128 and 5,668

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Solution

The third proportional to 5,128 and 5,668 is: 6,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128 : 5,668 = 5,668 : x
  2. Step 2: Convert to fraction form
    5,128/5,668 = 5,668/x
  3. Step 3: Cross multiply
    5,128x = 5,668 × 5,668
  4. Step 4: Simplify right side
    5,128x = 32,126,224
  5. Step 5: Solve for x
    x = 32,126,224/5,128
  6. Step 6: Final answer
    x = 6,264.86

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.