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Finding the Third Proportional to 18,765 and 39,641

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Solution

The third proportional to 18,765 and 39,641 is: 83,741.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,765 : 39,641 = 39,641 : x
  2. Step 2: Convert to fraction form
    18,765/39,641 = 39,641/x
  3. Step 3: Cross multiply
    18,765x = 39,641 × 39,641
  4. Step 4: Simplify right side
    18,765x = 1,571,408,881
  5. Step 5: Solve for x
    x = 1,571,408,881/18,765
  6. Step 6: Final answer
    x = 83,741.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.