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Finding the Third Proportional to 90,040.50 and 193,153.50

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Solution

The third proportional to 90,040.50 and 193,153.50 is: 414,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,040.50 : 193,153.50 = 193,153.50 : x
  2. Step 2: Convert to fraction form
    90,040.50/193,153.50 = 193,153.50/x
  3. Step 3: Cross multiply
    90,040.50x = 193,153.50 × 193,153.50
  4. Step 4: Simplify right side
    90,040.50x = 37,308,274,562.25
  5. Step 5: Solve for x
    x = 37,308,274,562.25/90,040.50
  6. Step 6: Final answer
    x = 414,349.93

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.