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Finding the Third Proportional to 43,790 and 69,351

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Solution

The third proportional to 43,790 and 69,351 is: 109,832.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,790 : 69,351 = 69,351 : x
  2. Step 2: Convert to fraction form
    43,790/69,351 = 69,351/x
  3. Step 3: Cross multiply
    43,790x = 69,351 × 69,351
  4. Step 4: Simplify right side
    43,790x = 4,809,561,201
  5. Step 5: Solve for x
    x = 4,809,561,201/43,790
  6. Step 6: Final answer
    x = 109,832.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.