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Finding the Third Proportional to 5,128 and 10,103.75

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Solution

The third proportional to 5,128 and 10,103.75 is: 19,907.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128 : 10,103.75 = 10,103.75 : x
  2. Step 2: Convert to fraction form
    5,128/10,103.75 = 10,103.75/x
  3. Step 3: Cross multiply
    5,128x = 10,103.75 × 10,103.75
  4. Step 4: Simplify right side
    5,128x = 102,085,764.06
  5. Step 5: Solve for x
    x = 102,085,764.06/5,128
  6. Step 6: Final answer
    x = 19,907.52

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.