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Finding the Third Proportional to 10,044 and 21,954.38

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Solution

The third proportional to 10,044 and 21,954.38 is: 47,988.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,044 : 21,954.38 = 21,954.38 : x
  2. Step 2: Convert to fraction form
    10,044/21,954.38 = 21,954.38/x
  3. Step 3: Cross multiply
    10,044x = 21,954.38 × 21,954.38
  4. Step 4: Simplify right side
    10,044x = 481,994,581.64
  5. Step 5: Solve for x
    x = 481,994,581.64/10,044
  6. Step 6: Final answer
    x = 47,988.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.