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Finding the Third Proportional to 127,530 and 187,407

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Solution

The third proportional to 127,530 and 187,407 is: 275,397.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,530 : 187,407 = 187,407 : x
  2. Step 2: Convert to fraction form
    127,530/187,407 = 187,407/x
  3. Step 3: Cross multiply
    127,530x = 187,407 × 187,407
  4. Step 4: Simplify right side
    127,530x = 35,121,383,649
  5. Step 5: Solve for x
    x = 35,121,383,649/127,530
  6. Step 6: Final answer
    x = 275,397.03

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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.