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Finding the Third Proportional to 8,623.13 and 11,873.25

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Solution

The third proportional to 8,623.13 and 11,873.25 is: 16,348.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,623.13 : 11,873.25 = 11,873.25 : x
  2. Step 2: Convert to fraction form
    8,623.13/11,873.25 = 11,873.25/x
  3. Step 3: Cross multiply
    8,623.13x = 11,873.25 × 11,873.25
  4. Step 4: Simplify right side
    8,623.13x = 140,974,065.56
  5. Step 5: Solve for x
    x = 140,974,065.56/8,623.13
  6. Step 6: Final answer
    x = 16,348.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.