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Finding the Third Proportional to 115,974 and 177,705

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Solution

The third proportional to 115,974 and 177,705 is: 272,294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,974 : 177,705 = 177,705 : x
  2. Step 2: Convert to fraction form
    115,974/177,705 = 177,705/x
  3. Step 3: Cross multiply
    115,974x = 177,705 × 177,705
  4. Step 4: Simplify right side
    115,974x = 31,579,067,025
  5. Step 5: Solve for x
    x = 31,579,067,025/115,974
  6. Step 6: Final answer
    x = 272,294.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.