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Finding the Third Proportional to 13,103.50 and 27,686

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Solution

The third proportional to 13,103.50 and 27,686 is: 58,496.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.50 : 27,686 = 27,686 : x
  2. Step 2: Convert to fraction form
    13,103.50/27,686 = 27,686/x
  3. Step 3: Cross multiply
    13,103.50x = 27,686 × 27,686
  4. Step 4: Simplify right side
    13,103.50x = 766,514,596
  5. Step 5: Solve for x
    x = 766,514,596/13,103.50
  6. Step 6: Final answer
    x = 58,496.94

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.