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Finding the Third Proportional to 194,554.88 and 426,015.38

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Solution

The third proportional to 194,554.88 and 426,015.38 is: 932,842.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,554.88 : 426,015.38 = 426,015.38 : x
  2. Step 2: Convert to fraction form
    194,554.88/426,015.38 = 426,015.38/x
  3. Step 3: Cross multiply
    194,554.88x = 426,015.38 × 426,015.38
  4. Step 4: Simplify right side
    194,554.88x = 181,489,099,736.39
  5. Step 5: Solve for x
    x = 181,489,099,736.39/194,554.88
  6. Step 6: Final answer
    x = 932,842.72

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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.