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Finding the Third Proportional to 84,123 and 179,478

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Solution

The third proportional to 84,123 and 179,478 is: 382,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,123 : 179,478 = 179,478 : x
  2. Step 2: Convert to fraction form
    84,123/179,478 = 179,478/x
  3. Step 3: Cross multiply
    84,123x = 179,478 × 179,478
  4. Step 4: Simplify right side
    84,123x = 32,212,352,484
  5. Step 5: Solve for x
    x = 32,212,352,484/84,123
  6. Step 6: Final answer
    x = 382,919.68

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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.