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Finding the Third Proportional to 39,608 and 82,482

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Solution

The third proportional to 39,608 and 82,482 is: 171,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,608 : 82,482 = 82,482 : x
  2. Step 2: Convert to fraction form
    39,608/82,482 = 82,482/x
  3. Step 3: Cross multiply
    39,608x = 82,482 × 82,482
  4. Step 4: Simplify right side
    39,608x = 6,803,280,324
  5. Step 5: Solve for x
    x = 6,803,280,324/39,608
  6. Step 6: Final answer
    x = 171,765.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.