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Finding the Third Proportional to 126,772 and 196,031

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Solution

The third proportional to 126,772 and 196,031 is: 303,128.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,772 : 196,031 = 196,031 : x
  2. Step 2: Convert to fraction form
    126,772/196,031 = 196,031/x
  3. Step 3: Cross multiply
    126,772x = 196,031 × 196,031
  4. Step 4: Simplify right side
    126,772x = 38,428,152,961
  5. Step 5: Solve for x
    x = 38,428,152,961/126,772
  6. Step 6: Final answer
    x = 303,128.08

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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.