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Finding the Third Proportional to 128,791.69 and 189,328.22

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Solution

The third proportional to 128,791.69 and 189,328.22 is: 278,319.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,791.69 : 189,328.22 = 189,328.22 : x
  2. Step 2: Convert to fraction form
    128,791.69/189,328.22 = 189,328.22/x
  3. Step 3: Cross multiply
    128,791.69x = 189,328.22 × 189,328.22
  4. Step 4: Simplify right side
    128,791.69x = 35,845,174,415.05
  5. Step 5: Solve for x
    x = 35,845,174,415.05/128,791.69
  6. Step 6: Final answer
    x = 278,319.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.