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Finding the Third Proportional to 127,725.75 and 190,890

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Solution

The third proportional to 127,725.75 and 190,890 is: 285,290.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,725.75 : 190,890 = 190,890 : x
  2. Step 2: Convert to fraction form
    127,725.75/190,890 = 190,890/x
  3. Step 3: Cross multiply
    127,725.75x = 190,890 × 190,890
  4. Step 4: Simplify right side
    127,725.75x = 36,438,992,100
  5. Step 5: Solve for x
    x = 36,438,992,100/127,725.75
  6. Step 6: Final answer
    x = 285,290.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.