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Finding the Third Proportional to 108,380 and 143,845.50

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Solution

The third proportional to 108,380 and 143,845.50 is: 190,916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,380 : 143,845.50 = 143,845.50 : x
  2. Step 2: Convert to fraction form
    108,380/143,845.50 = 143,845.50/x
  3. Step 3: Cross multiply
    108,380x = 143,845.50 × 143,845.50
  4. Step 4: Simplify right side
    108,380x = 20,691,527,870.25
  5. Step 5: Solve for x
    x = 20,691,527,870.25/108,380
  6. Step 6: Final answer
    x = 190,916.48

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.