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Finding the Third Proportional to 39,642 and 82,563

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Solution

The third proportional to 39,642 and 82,563 is: 171,955.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,642 : 82,563 = 82,563 : x
  2. Step 2: Convert to fraction form
    39,642/82,563 = 82,563/x
  3. Step 3: Cross multiply
    39,642x = 82,563 × 82,563
  4. Step 4: Simplify right side
    39,642x = 6,816,648,969
  5. Step 5: Solve for x
    x = 6,816,648,969/39,642
  6. Step 6: Final answer
    x = 171,955.22

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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.