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Finding the Third Proportional to 21,240 and 33,743

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Solution

The third proportional to 21,240 and 33,743 is: 53,605.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,240 : 33,743 = 33,743 : x
  2. Step 2: Convert to fraction form
    21,240/33,743 = 33,743/x
  3. Step 3: Cross multiply
    21,240x = 33,743 × 33,743
  4. Step 4: Simplify right side
    21,240x = 1,138,590,049
  5. Step 5: Solve for x
    x = 1,138,590,049/21,240
  6. Step 6: Final answer
    x = 53,605.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.