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Finding the Third Proportional to 13,818 and 29,975

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Solution

The third proportional to 13,818 and 29,975 is: 65,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818 : 29,975 = 29,975 : x
  2. Step 2: Convert to fraction form
    13,818/29,975 = 29,975/x
  3. Step 3: Cross multiply
    13,818x = 29,975 × 29,975
  4. Step 4: Simplify right side
    13,818x = 898,500,625
  5. Step 5: Solve for x
    x = 898,500,625/13,818
  6. Step 6: Final answer
    x = 65,023.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.