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Finding the Third Proportional to 43,769 and 53,489

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Solution

The third proportional to 43,769 and 53,489 is: 65,367.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,769 : 53,489 = 53,489 : x
  2. Step 2: Convert to fraction form
    43,769/53,489 = 53,489/x
  3. Step 3: Cross multiply
    43,769x = 53,489 × 53,489
  4. Step 4: Simplify right side
    43,769x = 2,861,073,121
  5. Step 5: Solve for x
    x = 2,861,073,121/43,769
  6. Step 6: Final answer
    x = 65,367.57

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.