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Finding the Third Proportional to 39,969 and 83,765

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Solution

The third proportional to 39,969 and 83,765 is: 175,550.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,969 : 83,765 = 83,765 : x
  2. Step 2: Convert to fraction form
    39,969/83,765 = 83,765/x
  3. Step 3: Cross multiply
    39,969x = 83,765 × 83,765
  4. Step 4: Simplify right side
    39,969x = 7,016,575,225
  5. Step 5: Solve for x
    x = 7,016,575,225/39,969
  6. Step 6: Final answer
    x = 175,550.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.