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Finding the Third Proportional to 39,128 and 83,872

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Solution

The third proportional to 39,128 and 83,872 is: 179,782.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,128 : 83,872 = 83,872 : x
  2. Step 2: Convert to fraction form
    39,128/83,872 = 83,872/x
  3. Step 3: Cross multiply
    39,128x = 83,872 × 83,872
  4. Step 4: Simplify right side
    39,128x = 7,034,512,384
  5. Step 5: Solve for x
    x = 7,034,512,384/39,128
  6. Step 6: Final answer
    x = 179,782.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.