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Finding the Third Proportional to 82,160.50 and 126,863.50

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Solution

The third proportional to 82,160.50 and 126,863.50 is: 195,889.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,160.50 : 126,863.50 = 126,863.50 : x
  2. Step 2: Convert to fraction form
    82,160.50/126,863.50 = 126,863.50/x
  3. Step 3: Cross multiply
    82,160.50x = 126,863.50 × 126,863.50
  4. Step 4: Simplify right side
    82,160.50x = 16,094,347,632.25
  5. Step 5: Solve for x
    x = 16,094,347,632.25/82,160.50
  6. Step 6: Final answer
    x = 195,889.11

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.