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Finding the Third Proportional to 8,686.06 and 18,965.12

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Solution

The third proportional to 8,686.06 and 18,965.12 is: 41,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.06 : 18,965.12 = 18,965.12 : x
  2. Step 2: Convert to fraction form
    8,686.06/18,965.12 = 18,965.12/x
  3. Step 3: Cross multiply
    8,686.06x = 18,965.12 × 18,965.12
  4. Step 4: Simplify right side
    8,686.06x = 359,675,915.33
  5. Step 5: Solve for x
    x = 359,675,915.33/8,686.06
  6. Step 6: Final answer
    x = 41,408.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.