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Finding the Third Proportional to 38,536 and 84,128

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Solution

The third proportional to 38,536 and 84,128 is: 183,659.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,536 : 84,128 = 84,128 : x
  2. Step 2: Convert to fraction form
    38,536/84,128 = 84,128/x
  3. Step 3: Cross multiply
    38,536x = 84,128 × 84,128
  4. Step 4: Simplify right side
    38,536x = 7,077,520,384
  5. Step 5: Solve for x
    x = 7,077,520,384/38,536
  6. Step 6: Final answer
    x = 183,659.96

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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.