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Finding the Third Proportional to 70,773 and 108,616.50

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Solution

The third proportional to 70,773 and 108,616.50 is: 166,695.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,773 : 108,616.50 = 108,616.50 : x
  2. Step 2: Convert to fraction form
    70,773/108,616.50 = 108,616.50/x
  3. Step 3: Cross multiply
    70,773x = 108,616.50 × 108,616.50
  4. Step 4: Simplify right side
    70,773x = 11,797,544,072.25
  5. Step 5: Solve for x
    x = 11,797,544,072.25/70,773
  6. Step 6: Final answer
    x = 166,695.55

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.