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Finding the Third Proportional to 18,735 and 39,775

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Solution

The third proportional to 18,735 and 39,775 is: 84,443.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,735 : 39,775 = 39,775 : x
  2. Step 2: Convert to fraction form
    18,735/39,775 = 39,775/x
  3. Step 3: Cross multiply
    18,735x = 39,775 × 39,775
  4. Step 4: Simplify right side
    18,735x = 1,582,050,625
  5. Step 5: Solve for x
    x = 1,582,050,625/18,735
  6. Step 6: Final answer
    x = 84,443.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.