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Finding the Third Proportional to 39,346 and 55,635

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Solution

The third proportional to 39,346 and 55,635 is: 78,667.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,346 : 55,635 = 55,635 : x
  2. Step 2: Convert to fraction form
    39,346/55,635 = 55,635/x
  3. Step 3: Cross multiply
    39,346x = 55,635 × 55,635
  4. Step 4: Simplify right side
    39,346x = 3,095,253,225
  5. Step 5: Solve for x
    x = 3,095,253,225/39,346
  6. Step 6: Final answer
    x = 78,667.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.