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Finding the Third Proportional to 50,935.50 and 105,455.25

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Solution

The third proportional to 50,935.50 and 105,455.25 is: 218,331.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,935.50 : 105,455.25 = 105,455.25 : x
  2. Step 2: Convert to fraction form
    50,935.50/105,455.25 = 105,455.25/x
  3. Step 3: Cross multiply
    50,935.50x = 105,455.25 × 105,455.25
  4. Step 4: Simplify right side
    50,935.50x = 11,120,809,752.56
  5. Step 5: Solve for x
    x = 11,120,809,752.56/50,935.50
  6. Step 6: Final answer
    x = 218,331.22

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.