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Finding the Third Proportional to 10,744 and 23,791

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Solution

The third proportional to 10,744 and 23,791 is: 52,681.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744 : 23,791 = 23,791 : x
  2. Step 2: Convert to fraction form
    10,744/23,791 = 23,791/x
  3. Step 3: Cross multiply
    10,744x = 23,791 × 23,791
  4. Step 4: Simplify right side
    10,744x = 566,011,681
  5. Step 5: Solve for x
    x = 566,011,681/10,744
  6. Step 6: Final answer
    x = 52,681.65

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.