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Finding the Third Proportional to 39,120 and 85,500

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Solution

The third proportional to 39,120 and 85,500 is: 186,867.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,120 : 85,500 = 85,500 : x
  2. Step 2: Convert to fraction form
    39,120/85,500 = 85,500/x
  3. Step 3: Cross multiply
    39,120x = 85,500 × 85,500
  4. Step 4: Simplify right side
    39,120x = 7,310,250,000
  5. Step 5: Solve for x
    x = 7,310,250,000/39,120
  6. Step 6: Final answer
    x = 186,867.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.