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Finding the Third Proportional to 40,530 and 83,065

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Solution

The third proportional to 40,530 and 83,065 is: 170,239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,530 : 83,065 = 83,065 : x
  2. Step 2: Convert to fraction form
    40,530/83,065 = 83,065/x
  3. Step 3: Cross multiply
    40,530x = 83,065 × 83,065
  4. Step 4: Simplify right side
    40,530x = 6,899,794,225
  5. Step 5: Solve for x
    x = 6,899,794,225/40,530
  6. Step 6: Final answer
    x = 170,239.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.