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Finding the Third Proportional to 38,421 and 81,054

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Solution

The third proportional to 38,421 and 81,054 is: 170,993.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,421 : 81,054 = 81,054 : x
  2. Step 2: Convert to fraction form
    38,421/81,054 = 81,054/x
  3. Step 3: Cross multiply
    38,421x = 81,054 × 81,054
  4. Step 4: Simplify right side
    38,421x = 6,569,750,916
  5. Step 5: Solve for x
    x = 6,569,750,916/38,421
  6. Step 6: Final answer
    x = 170,993.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.