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Finding the Third Proportional to 185,159.25 and 398,415.38

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Solution

The third proportional to 185,159.25 and 398,415.38 is: 857,288.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,159.25 : 398,415.38 = 398,415.38 : x
  2. Step 2: Convert to fraction form
    185,159.25/398,415.38 = 398,415.38/x
  3. Step 3: Cross multiply
    185,159.25x = 398,415.38 × 398,415.38
  4. Step 4: Simplify right side
    185,159.25x = 158,734,811,036.39
  5. Step 5: Solve for x
    x = 158,734,811,036.39/185,159.25
  6. Step 6: Final answer
    x = 857,288.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.