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Finding the Third Proportional to 10,627.03 and 23,268.09

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Solution

The third proportional to 10,627.03 and 23,268.09 is: 50,945.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.03 : 23,268.09 = 23,268.09 : x
  2. Step 2: Convert to fraction form
    10,627.03/23,268.09 = 23,268.09/x
  3. Step 3: Cross multiply
    10,627.03x = 23,268.09 × 23,268.09
  4. Step 4: Simplify right side
    10,627.03x = 541,404,186.76
  5. Step 5: Solve for x
    x = 541,404,186.76/10,627.03
  6. Step 6: Final answer
    x = 50,945.95

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Why These Related Problems?

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