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Finding the Third Proportional to 115,121.25 and 165,270.38

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Solution

The third proportional to 115,121.25 and 165,270.38 is: 237,265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,121.25 : 165,270.38 = 165,270.38 : x
  2. Step 2: Convert to fraction form
    115,121.25/165,270.38 = 165,270.38/x
  3. Step 3: Cross multiply
    115,121.25x = 165,270.38 × 165,270.38
  4. Step 4: Simplify right side
    115,121.25x = 27,314,296,852.64
  5. Step 5: Solve for x
    x = 27,314,296,852.64/115,121.25
  6. Step 6: Final answer
    x = 237,265.46

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.