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Finding the Third Proportional to 82,811.25 and 178,736.91

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Solution

The third proportional to 82,811.25 and 178,736.91 is: 385,779.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,811.25 : 178,736.91 = 178,736.91 : x
  2. Step 2: Convert to fraction form
    82,811.25/178,736.91 = 178,736.91/x
  3. Step 3: Cross multiply
    82,811.25x = 178,736.91 × 178,736.91
  4. Step 4: Simplify right side
    82,811.25x = 31,946,881,655.82
  5. Step 5: Solve for x
    x = 31,946,881,655.82/82,811.25
  6. Step 6: Final answer
    x = 385,779.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.