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Finding the Third Proportional to 181,504,128 and 398,274,432

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Solution

The third proportional to 181,504,128 and 398,274,432 is: 873,933,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,504,128 : 398,274,432 = 398,274,432 : x
  2. Step 2: Convert to fraction form
    181,504,128/398,274,432 = 398,274,432/x
  3. Step 3: Cross multiply
    181,504,128x = 398,274,432 × 398,274,432
  4. Step 4: Simplify right side
    181,504,128x = 158,622,523,184,922,624
  5. Step 5: Solve for x
    x = 158,622,523,184,922,624/181,504,128
  6. Step 6: Final answer
    x = 873,933,419.22

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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.