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Finding the Third Proportional to 57,128.63 and 123,791.63

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Solution

The third proportional to 57,128.63 and 123,791.63 is: 268,243.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,128.63 : 123,791.63 = 123,791.63 : x
  2. Step 2: Convert to fraction form
    57,128.63/123,791.63 = 123,791.63/x
  3. Step 3: Cross multiply
    57,128.63x = 123,791.63 × 123,791.63
  4. Step 4: Simplify right side
    57,128.63x = 15,324,366,420.14
  5. Step 5: Solve for x
    x = 15,324,366,420.14/57,128.63
  6. Step 6: Final answer
    x = 268,243.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.