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Finding the Third Proportional to 27,744 and 43,120

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Solution

The third proportional to 27,744 and 43,120 is: 67,017.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,744 : 43,120 = 43,120 : x
  2. Step 2: Convert to fraction form
    27,744/43,120 = 43,120/x
  3. Step 3: Cross multiply
    27,744x = 43,120 × 43,120
  4. Step 4: Simplify right side
    27,744x = 1,859,334,400
  5. Step 5: Solve for x
    x = 1,859,334,400/27,744
  6. Step 6: Final answer
    x = 67,017.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.