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Finding the Third Proportional to 206,416.50 and 426,991.50

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Solution

The third proportional to 206,416.50 and 426,991.50 is: 883,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,416.50 : 426,991.50 = 426,991.50 : x
  2. Step 2: Convert to fraction form
    206,416.50/426,991.50 = 426,991.50/x
  3. Step 3: Cross multiply
    206,416.50x = 426,991.50 × 426,991.50
  4. Step 4: Simplify right side
    206,416.50x = 182,321,741,072.25
  5. Step 5: Solve for x
    x = 182,321,741,072.25/206,416.50
  6. Step 6: Final answer
    x = 883,271.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.