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Finding the Third Proportional to 84,419 and 180,138

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Solution

The third proportional to 84,419 and 180,138 is: 384,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,419 : 180,138 = 180,138 : x
  2. Step 2: Convert to fraction form
    84,419/180,138 = 180,138/x
  3. Step 3: Cross multiply
    84,419x = 180,138 × 180,138
  4. Step 4: Simplify right side
    84,419x = 32,449,699,044
  5. Step 5: Solve for x
    x = 32,449,699,044/84,419
  6. Step 6: Final answer
    x = 384,388.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.