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Finding the Third Proportional to 38,790 and 84,491

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Solution

The third proportional to 38,790 and 84,491 is: 184,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,790 : 84,491 = 84,491 : x
  2. Step 2: Convert to fraction form
    38,790/84,491 = 84,491/x
  3. Step 3: Cross multiply
    38,790x = 84,491 × 84,491
  4. Step 4: Simplify right side
    38,790x = 7,138,729,081
  5. Step 5: Solve for x
    x = 7,138,729,081/38,790
  6. Step 6: Final answer
    x = 184,035.29

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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.