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Finding the Third Proportional to 39,923 and 87,139

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Solution

The third proportional to 39,923 and 87,139 is: 190,196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,923 : 87,139 = 87,139 : x
  2. Step 2: Convert to fraction form
    39,923/87,139 = 87,139/x
  3. Step 3: Cross multiply
    39,923x = 87,139 × 87,139
  4. Step 4: Simplify right side
    39,923x = 7,593,205,321
  5. Step 5: Solve for x
    x = 7,593,205,321/39,923
  6. Step 6: Final answer
    x = 190,196.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.