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Finding the Third Proportional to 40,928 and 89,663.50

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Solution

The third proportional to 40,928 and 89,663.50 is: 196,431.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,928 : 89,663.50 = 89,663.50 : x
  2. Step 2: Convert to fraction form
    40,928/89,663.50 = 89,663.50/x
  3. Step 3: Cross multiply
    40,928x = 89,663.50 × 89,663.50
  4. Step 4: Simplify right side
    40,928x = 8,039,543,232.25
  5. Step 5: Solve for x
    x = 8,039,543,232.25/40,928
  6. Step 6: Final answer
    x = 196,431.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.