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Finding the Third Proportional to 81,729 and 126,603

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Solution

The third proportional to 81,729 and 126,603 is: 196,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,729 : 126,603 = 126,603 : x
  2. Step 2: Convert to fraction form
    81,729/126,603 = 126,603/x
  3. Step 3: Cross multiply
    81,729x = 126,603 × 126,603
  4. Step 4: Simplify right side
    81,729x = 16,028,319,609
  5. Step 5: Solve for x
    x = 16,028,319,609/81,729
  6. Step 6: Final answer
    x = 196,115.45

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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.