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Finding the Third Proportional to 39,210 and 82,065

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Solution

The third proportional to 39,210 and 82,065 is: 171,758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,210 : 82,065 = 82,065 : x
  2. Step 2: Convert to fraction form
    39,210/82,065 = 82,065/x
  3. Step 3: Cross multiply
    39,210x = 82,065 × 82,065
  4. Step 4: Simplify right side
    39,210x = 6,734,664,225
  5. Step 5: Solve for x
    x = 6,734,664,225/39,210
  6. Step 6: Final answer
    x = 171,758.84

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.