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Finding the Third Proportional to 7,128 and 11,793.09

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Solution

The third proportional to 7,128 and 11,793.09 is: 19,511.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128 : 11,793.09 = 11,793.09 : x
  2. Step 2: Convert to fraction form
    7,128/11,793.09 = 11,793.09/x
  3. Step 3: Cross multiply
    7,128x = 11,793.09 × 11,793.09
  4. Step 4: Simplify right side
    7,128x = 139,077,060.20
  5. Step 5: Solve for x
    x = 139,077,060.20/7,128
  6. Step 6: Final answer
    x = 19,511.37

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.