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Finding the Third Proportional to 39,787 and 55,774

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Solution

The third proportional to 39,787 and 55,774 is: 78,184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,787 : 55,774 = 55,774 : x
  2. Step 2: Convert to fraction form
    39,787/55,774 = 55,774/x
  3. Step 3: Cross multiply
    39,787x = 55,774 × 55,774
  4. Step 4: Simplify right side
    39,787x = 3,110,739,076
  5. Step 5: Solve for x
    x = 3,110,739,076/39,787
  6. Step 6: Final answer
    x = 78,184.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.