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Finding the Third Proportional to 84,379 and 123,237

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Solution

The third proportional to 84,379 and 123,237 is: 179,989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,379 : 123,237 = 123,237 : x
  2. Step 2: Convert to fraction form
    84,379/123,237 = 123,237/x
  3. Step 3: Cross multiply
    84,379x = 123,237 × 123,237
  4. Step 4: Simplify right side
    84,379x = 15,187,358,169
  5. Step 5: Solve for x
    x = 15,187,358,169/84,379
  6. Step 6: Final answer
    x = 179,989.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.