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Finding the Third Proportional to 39,771 and 55,746

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Solution

The third proportional to 39,771 and 55,746 is: 78,137.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,771 : 55,746 = 55,746 : x
  2. Step 2: Convert to fraction form
    39,771/55,746 = 55,746/x
  3. Step 3: Cross multiply
    39,771x = 55,746 × 55,746
  4. Step 4: Simplify right side
    39,771x = 3,107,616,516
  5. Step 5: Solve for x
    x = 3,107,616,516/39,771
  6. Step 6: Final answer
    x = 78,137.75

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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.