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Finding the Third Proportional to 181,362 and 397,740

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Solution

The third proportional to 181,362 and 397,740 is: 872,272.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,362 : 397,740 = 397,740 : x
  2. Step 2: Convert to fraction form
    181,362/397,740 = 397,740/x
  3. Step 3: Cross multiply
    181,362x = 397,740 × 397,740
  4. Step 4: Simplify right side
    181,362x = 158,197,107,600
  5. Step 5: Solve for x
    x = 158,197,107,600/181,362
  6. Step 6: Final answer
    x = 872,272.62

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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.