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Finding the Third Proportional to 81,556 and 126,043

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Solution

The third proportional to 81,556 and 126,043 is: 194,796.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,556 : 126,043 = 126,043 : x
  2. Step 2: Convert to fraction form
    81,556/126,043 = 126,043/x
  3. Step 3: Cross multiply
    81,556x = 126,043 × 126,043
  4. Step 4: Simplify right side
    81,556x = 15,886,837,849
  5. Step 5: Solve for x
    x = 15,886,837,849/81,556
  6. Step 6: Final answer
    x = 194,796.68

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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.