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Finding the Third Proportional to 84,693 and 178,782

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Solution

The third proportional to 84,693 and 178,782 is: 377,398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,693 : 178,782 = 178,782 : x
  2. Step 2: Convert to fraction form
    84,693/178,782 = 178,782/x
  3. Step 3: Cross multiply
    84,693x = 178,782 × 178,782
  4. Step 4: Simplify right side
    84,693x = 31,963,003,524
  5. Step 5: Solve for x
    x = 31,963,003,524/84,693
  6. Step 6: Final answer
    x = 377,398.41

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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.