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Finding the Third Proportional to 43,161 and 65,681

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Solution

The third proportional to 43,161 and 65,681 is: 99,951.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,161 : 65,681 = 65,681 : x
  2. Step 2: Convert to fraction form
    43,161/65,681 = 65,681/x
  3. Step 3: Cross multiply
    43,161x = 65,681 × 65,681
  4. Step 4: Simplify right side
    43,161x = 4,313,993,761
  5. Step 5: Solve for x
    x = 4,313,993,761/43,161
  6. Step 6: Final answer
    x = 99,951.20

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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.