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Finding the Third Proportional to 181,444 and 389,120

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Solution

The third proportional to 181,444 and 389,120 is: 834,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,444 : 389,120 = 389,120 : x
  2. Step 2: Convert to fraction form
    181,444/389,120 = 389,120/x
  3. Step 3: Cross multiply
    181,444x = 389,120 × 389,120
  4. Step 4: Simplify right side
    181,444x = 151,414,374,400
  5. Step 5: Solve for x
    x = 151,414,374,400/181,444
  6. Step 6: Final answer
    x = 834,496.45

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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.