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Finding the Third Proportional to 81,321 and 126,899.81

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Solution

The third proportional to 81,321 and 126,899.81 is: 198,024.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,321 : 126,899.81 = 126,899.81 : x
  2. Step 2: Convert to fraction form
    81,321/126,899.81 = 126,899.81/x
  3. Step 3: Cross multiply
    81,321x = 126,899.81 × 126,899.81
  4. Step 4: Simplify right side
    81,321x = 16,103,562,412.54
  5. Step 5: Solve for x
    x = 16,103,562,412.54/81,321
  6. Step 6: Final answer
    x = 198,024.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.