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Finding the Third Proportional to 199,745 and 428,866

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Solution

The third proportional to 199,745 and 428,866 is: 920,804.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,745 : 428,866 = 428,866 : x
  2. Step 2: Convert to fraction form
    199,745/428,866 = 428,866/x
  3. Step 3: Cross multiply
    199,745x = 428,866 × 428,866
  4. Step 4: Simplify right side
    199,745x = 183,926,045,956
  5. Step 5: Solve for x
    x = 183,926,045,956/199,745
  6. Step 6: Final answer
    x = 920,804.26

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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.