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Finding the Third Proportional to 107,493.75 and 223,810.50

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Solution

The third proportional to 107,493.75 and 223,810.50 is: 465,991.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,493.75 : 223,810.50 = 223,810.50 : x
  2. Step 2: Convert to fraction form
    107,493.75/223,810.50 = 223,810.50/x
  3. Step 3: Cross multiply
    107,493.75x = 223,810.50 × 223,810.50
  4. Step 4: Simplify right side
    107,493.75x = 50,091,139,910.25
  5. Step 5: Solve for x
    x = 50,091,139,910.25/107,493.75
  6. Step 6: Final answer
    x = 465,991.18

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.