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Finding the Third Proportional to 43,813 and 68,640

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Solution

The third proportional to 43,813 and 68,640 is: 107,535.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,813 : 68,640 = 68,640 : x
  2. Step 2: Convert to fraction form
    43,813/68,640 = 68,640/x
  3. Step 3: Cross multiply
    43,813x = 68,640 × 68,640
  4. Step 4: Simplify right side
    43,813x = 4,711,449,600
  5. Step 5: Solve for x
    x = 4,711,449,600/43,813
  6. Step 6: Final answer
    x = 107,535.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.