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Finding the Third Proportional to 199,554.75 and 428,634

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Solution

The third proportional to 199,554.75 and 428,634 is: 920,685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,554.75 : 428,634 = 428,634 : x
  2. Step 2: Convert to fraction form
    199,554.75/428,634 = 428,634/x
  3. Step 3: Cross multiply
    199,554.75x = 428,634 × 428,634
  4. Step 4: Simplify right side
    199,554.75x = 183,727,105,956
  5. Step 5: Solve for x
    x = 183,727,105,956/199,554.75
  6. Step 6: Final answer
    x = 920,685.21

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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.