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Finding the Third Proportional to 43,638 and 67,113

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Solution

The third proportional to 43,638 and 67,113 is: 103,216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,638 : 67,113 = 67,113 : x
  2. Step 2: Convert to fraction form
    43,638/67,113 = 67,113/x
  3. Step 3: Cross multiply
    43,638x = 67,113 × 67,113
  4. Step 4: Simplify right side
    43,638x = 4,504,154,769
  5. Step 5: Solve for x
    x = 4,504,154,769/43,638
  6. Step 6: Final answer
    x = 103,216.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.