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Finding the Third Proportional to 9,744 and 21,044

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Solution

The third proportional to 9,744 and 21,044 is: 45,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744 : 21,044 = 21,044 : x
  2. Step 2: Convert to fraction form
    9,744/21,044 = 21,044/x
  3. Step 3: Cross multiply
    9,744x = 21,044 × 21,044
  4. Step 4: Simplify right side
    9,744x = 442,849,936
  5. Step 5: Solve for x
    x = 442,849,936/9,744
  6. Step 6: Final answer
    x = 45,448.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.