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Finding the Third Proportional to 181,132.88 and 398,121.75

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Solution

The third proportional to 181,132.88 and 398,121.75 is: 875,053.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,132.88 : 398,121.75 = 398,121.75 : x
  2. Step 2: Convert to fraction form
    181,132.88/398,121.75 = 398,121.75/x
  3. Step 3: Cross multiply
    181,132.88x = 398,121.75 × 398,121.75
  4. Step 4: Simplify right side
    181,132.88x = 158,500,927,823.06
  5. Step 5: Solve for x
    x = 158,500,927,823.06/181,132.88
  6. Step 6: Final answer
    x = 875,053.34

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.