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Finding the Third Proportional to 38,424 and 84,138

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Solution

The third proportional to 38,424 and 84,138 is: 184,239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,424 : 84,138 = 84,138 : x
  2. Step 2: Convert to fraction form
    38,424/84,138 = 84,138/x
  3. Step 3: Cross multiply
    38,424x = 84,138 × 84,138
  4. Step 4: Simplify right side
    38,424x = 7,079,203,044
  5. Step 5: Solve for x
    x = 7,079,203,044/38,424
  6. Step 6: Final answer
    x = 184,239.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.