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Finding the Third Proportional to 90,444.38 and 196,960.50

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Solution

The third proportional to 90,444.38 and 196,960.50 is: 428,920.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,444.38 : 196,960.50 = 196,960.50 : x
  2. Step 2: Convert to fraction form
    90,444.38/196,960.50 = 196,960.50/x
  3. Step 3: Cross multiply
    90,444.38x = 196,960.50 × 196,960.50
  4. Step 4: Simplify right side
    90,444.38x = 38,793,438,560.25
  5. Step 5: Solve for x
    x = 38,793,438,560.25/90,444.38
  6. Step 6: Final answer
    x = 428,920.41

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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.