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Finding the Third Proportional to 89,382 and 195,040.50

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Solution

The third proportional to 89,382 and 195,040.50 is: 425,597.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,382 : 195,040.50 = 195,040.50 : x
  2. Step 2: Convert to fraction form
    89,382/195,040.50 = 195,040.50/x
  3. Step 3: Cross multiply
    89,382x = 195,040.50 × 195,040.50
  4. Step 4: Simplify right side
    89,382x = 38,040,796,640.25
  5. Step 5: Solve for x
    x = 38,040,796,640.25/89,382
  6. Step 6: Final answer
    x = 425,597.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.