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Finding the Third Proportional to 82,763 and 128,383.50

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Solution

The third proportional to 82,763 and 128,383.50 is: 199,150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,763 : 128,383.50 = 128,383.50 : x
  2. Step 2: Convert to fraction form
    82,763/128,383.50 = 128,383.50/x
  3. Step 3: Cross multiply
    82,763x = 128,383.50 × 128,383.50
  4. Step 4: Simplify right side
    82,763x = 16,482,323,072.25
  5. Step 5: Solve for x
    x = 16,482,323,072.25/82,763
  6. Step 6: Final answer
    x = 199,150.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.