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Finding the Third Proportional to 39,100 and 85,976

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Solution

The third proportional to 39,100 and 85,976 is: 189,050.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,100 : 85,976 = 85,976 : x
  2. Step 2: Convert to fraction form
    39,100/85,976 = 85,976/x
  3. Step 3: Cross multiply
    39,100x = 85,976 × 85,976
  4. Step 4: Simplify right side
    39,100x = 7,391,872,576
  5. Step 5: Solve for x
    x = 7,391,872,576/39,100
  6. Step 6: Final answer
    x = 189,050.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.