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Finding the Third Proportional to 38,642 and 84,004

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Solution

The third proportional to 38,642 and 84,004 is: 182,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,642 : 84,004 = 84,004 : x
  2. Step 2: Convert to fraction form
    38,642/84,004 = 84,004/x
  3. Step 3: Cross multiply
    38,642x = 84,004 × 84,004
  4. Step 4: Simplify right side
    38,642x = 7,056,672,016
  5. Step 5: Solve for x
    x = 7,056,672,016/38,642
  6. Step 6: Final answer
    x = 182,616.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.