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Finding the Third Proportional to 181,579 and 397,610

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Solution

The third proportional to 181,579 and 397,610 is: 870,660.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,579 : 397,610 = 397,610 : x
  2. Step 2: Convert to fraction form
    181,579/397,610 = 397,610/x
  3. Step 3: Cross multiply
    181,579x = 397,610 × 397,610
  4. Step 4: Simplify right side
    181,579x = 158,093,712,100
  5. Step 5: Solve for x
    x = 158,093,712,100/181,579
  6. Step 6: Final answer
    x = 870,660.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.