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Finding the Third Proportional to 181,001.25 and 397,689.75

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Solution

The third proportional to 181,001.25 and 397,689.75 is: 873,790.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,001.25 : 397,689.75 = 397,689.75 : x
  2. Step 2: Convert to fraction form
    181,001.25/397,689.75 = 397,689.75/x
  3. Step 3: Cross multiply
    181,001.25x = 397,689.75 × 397,689.75
  4. Step 4: Simplify right side
    181,001.25x = 158,157,137,255.06
  5. Step 5: Solve for x
    x = 158,157,137,255.06/181,001.25
  6. Step 6: Final answer
    x = 873,790.30

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Why These Related Problems?

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