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Finding the Third Proportional to 88,141.50 and 193,779

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Solution

The third proportional to 88,141.50 and 193,779 is: 426,022.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,141.50 : 193,779 = 193,779 : x
  2. Step 2: Convert to fraction form
    88,141.50/193,779 = 193,779/x
  3. Step 3: Cross multiply
    88,141.50x = 193,779 × 193,779
  4. Step 4: Simplify right side
    88,141.50x = 37,550,300,841
  5. Step 5: Solve for x
    x = 37,550,300,841/88,141.50
  6. Step 6: Final answer
    x = 426,022.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.