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Finding the Third Proportional to 39,774 and 53,825

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Solution

The third proportional to 39,774 and 53,825 is: 72,839.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,774 : 53,825 = 53,825 : x
  2. Step 2: Convert to fraction form
    39,774/53,825 = 53,825/x
  3. Step 3: Cross multiply
    39,774x = 53,825 × 53,825
  4. Step 4: Simplify right side
    39,774x = 2,897,130,625
  5. Step 5: Solve for x
    x = 2,897,130,625/39,774
  6. Step 6: Final answer
    x = 72,839.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.