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Finding the Third Proportional to 181,135.13 and 398,126.25

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Solution

The third proportional to 181,135.13 and 398,126.25 is: 875,062.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,135.13 : 398,126.25 = 398,126.25 : x
  2. Step 2: Convert to fraction form
    181,135.13/398,126.25 = 398,126.25/x
  3. Step 3: Cross multiply
    181,135.13x = 398,126.25 × 398,126.25
  4. Step 4: Simplify right side
    181,135.13x = 158,504,510,939.06
  5. Step 5: Solve for x
    x = 158,504,510,939.06/181,135.13
  6. Step 6: Final answer
    x = 875,062.25

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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.