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Finding the Third Proportional to 39,447 and 55,485

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Solution

The third proportional to 39,447 and 55,485 is: 78,043.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,447 : 55,485 = 55,485 : x
  2. Step 2: Convert to fraction form
    39,447/55,485 = 55,485/x
  3. Step 3: Cross multiply
    39,447x = 55,485 × 55,485
  4. Step 4: Simplify right side
    39,447x = 3,078,585,225
  5. Step 5: Solve for x
    x = 3,078,585,225/39,447
  6. Step 6: Final answer
    x = 78,043.58

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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.