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Finding the Third Proportional to 39,676.50 and 82,641

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Solution

The third proportional to 39,676.50 and 82,641 is: 172,130.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,676.50 : 82,641 = 82,641 : x
  2. Step 2: Convert to fraction form
    39,676.50/82,641 = 82,641/x
  3. Step 3: Cross multiply
    39,676.50x = 82,641 × 82,641
  4. Step 4: Simplify right side
    39,676.50x = 6,829,534,881
  5. Step 5: Solve for x
    x = 6,829,534,881/39,676.50
  6. Step 6: Final answer
    x = 172,130.48

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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.