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Finding the Third Proportional to 126,640 and 196,080

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Solution

The third proportional to 126,640 and 196,080 is: 303,595.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,640 : 196,080 = 196,080 : x
  2. Step 2: Convert to fraction form
    126,640/196,080 = 196,080/x
  3. Step 3: Cross multiply
    126,640x = 196,080 × 196,080
  4. Step 4: Simplify right side
    126,640x = 38,447,366,400
  5. Step 5: Solve for x
    x = 38,447,366,400/126,640
  6. Step 6: Final answer
    x = 303,595.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.