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Finding the Third Proportional to 39,666 and 63,777

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Solution

The third proportional to 39,666 and 63,777 is: 102,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,666 : 63,777 = 63,777 : x
  2. Step 2: Convert to fraction form
    39,666/63,777 = 63,777/x
  3. Step 3: Cross multiply
    39,666x = 63,777 × 63,777
  4. Step 4: Simplify right side
    39,666x = 4,067,505,729
  5. Step 5: Solve for x
    x = 4,067,505,729/39,666
  6. Step 6: Final answer
    x = 102,543.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.