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Finding the Third Proportional to 194,555.25 and 426,016.13

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Solution

The third proportional to 194,555.25 and 426,016.13 is: 932,844.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,555.25 : 426,016.13 = 426,016.13 : x
  2. Step 2: Convert to fraction form
    194,555.25/426,016.13 = 426,016.13/x
  3. Step 3: Cross multiply
    194,555.25x = 426,016.13 × 426,016.13
  4. Step 4: Simplify right side
    194,555.25x = 181,489,738,760.02
  5. Step 5: Solve for x
    x = 181,489,738,760.02/194,555.25
  6. Step 6: Final answer
    x = 932,844.21

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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.