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Finding the Third Proportional to 81,284 and 107,882.50

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Solution

The third proportional to 81,284 and 107,882.50 is: 143,184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,284 : 107,882.50 = 107,882.50 : x
  2. Step 2: Convert to fraction form
    81,284/107,882.50 = 107,882.50/x
  3. Step 3: Cross multiply
    81,284x = 107,882.50 × 107,882.50
  4. Step 4: Simplify right side
    81,284x = 11,638,633,806.25
  5. Step 5: Solve for x
    x = 11,638,633,806.25/81,284
  6. Step 6: Final answer
    x = 143,184.81

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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.