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Finding the Third Proportional to 8,129 and 11,883.75

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Solution

The third proportional to 8,129 and 11,883.75 is: 17,372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129 : 11,883.75 = 11,883.75 : x
  2. Step 2: Convert to fraction form
    8,129/11,883.75 = 11,883.75/x
  3. Step 3: Cross multiply
    8,129x = 11,883.75 × 11,883.75
  4. Step 4: Simplify right side
    8,129x = 141,223,514.06
  5. Step 5: Solve for x
    x = 141,223,514.06/8,129
  6. Step 6: Final answer
    x = 17,372.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.