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Finding the Third Proportional to 81,172.13 and 121,636.69

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Solution

The third proportional to 81,172.13 and 121,636.69 is: 182,272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,172.13 : 121,636.69 = 121,636.69 : x
  2. Step 2: Convert to fraction form
    81,172.13/121,636.69 = 121,636.69/x
  3. Step 3: Cross multiply
    81,172.13x = 121,636.69 × 121,636.69
  4. Step 4: Simplify right side
    81,172.13x = 14,795,483,745.97
  5. Step 5: Solve for x
    x = 14,795,483,745.97/81,172.13
  6. Step 6: Final answer
    x = 182,272.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.