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Finding the Third Proportional to 84,078 and 177,813

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Solution

The third proportional to 84,078 and 177,813 is: 376,049.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,078 : 177,813 = 177,813 : x
  2. Step 2: Convert to fraction form
    84,078/177,813 = 177,813/x
  3. Step 3: Cross multiply
    84,078x = 177,813 × 177,813
  4. Step 4: Simplify right side
    84,078x = 31,617,462,969
  5. Step 5: Solve for x
    x = 31,617,462,969/84,078
  6. Step 6: Final answer
    x = 376,049.18

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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.