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Finding the Third Proportional to 43,773 and 66,753

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Solution

The third proportional to 43,773 and 66,753 is: 101,797.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,773 : 66,753 = 66,753 : x
  2. Step 2: Convert to fraction form
    43,773/66,753 = 66,753/x
  3. Step 3: Cross multiply
    43,773x = 66,753 × 66,753
  4. Step 4: Simplify right side
    43,773x = 4,455,963,009
  5. Step 5: Solve for x
    x = 4,455,963,009/43,773
  6. Step 6: Final answer
    x = 101,797.07

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.