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Finding the Third Proportional to 86,983.50 and 133,284

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Solution

The third proportional to 86,983.50 and 133,284 is: 204,229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,983.50 : 133,284 = 133,284 : x
  2. Step 2: Convert to fraction form
    86,983.50/133,284 = 133,284/x
  3. Step 3: Cross multiply
    86,983.50x = 133,284 × 133,284
  4. Step 4: Simplify right side
    86,983.50x = 17,764,624,656
  5. Step 5: Solve for x
    x = 17,764,624,656/86,983.50
  6. Step 6: Final answer
    x = 204,229.82

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.