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Finding the Third Proportional to 181,321 and 387,589

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Solution

The third proportional to 181,321 and 387,589 is: 828,504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,321 : 387,589 = 387,589 : x
  2. Step 2: Convert to fraction form
    181,321/387,589 = 387,589/x
  3. Step 3: Cross multiply
    181,321x = 387,589 × 387,589
  4. Step 4: Simplify right side
    181,321x = 150,225,232,921
  5. Step 5: Solve for x
    x = 150,225,232,921/181,321
  6. Step 6: Final answer
    x = 828,504.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.