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Finding the Third Proportional to 39,754 and 86,790

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Solution

The third proportional to 39,754 and 86,790 is: 189,477.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,754 : 86,790 = 86,790 : x
  2. Step 2: Convert to fraction form
    39,754/86,790 = 86,790/x
  3. Step 3: Cross multiply
    39,754x = 86,790 × 86,790
  4. Step 4: Simplify right side
    39,754x = 7,532,504,100
  5. Step 5: Solve for x
    x = 7,532,504,100/39,754
  6. Step 6: Final answer
    x = 189,477.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.