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Finding the Third Proportional to 39,405 and 83,250

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Solution

The third proportional to 39,405 and 83,250 is: 175,880.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,405 : 83,250 = 83,250 : x
  2. Step 2: Convert to fraction form
    39,405/83,250 = 83,250/x
  3. Step 3: Cross multiply
    39,405x = 83,250 × 83,250
  4. Step 4: Simplify right side
    39,405x = 6,930,562,500
  5. Step 5: Solve for x
    x = 6,930,562,500/39,405
  6. Step 6: Final answer
    x = 175,880.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.