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Finding the Third Proportional to 199,744 and 428,864

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Solution

The third proportional to 199,744 and 428,864 is: 920,800.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,744 : 428,864 = 428,864 : x
  2. Step 2: Convert to fraction form
    199,744/428,864 = 428,864/x
  3. Step 3: Cross multiply
    199,744x = 428,864 × 428,864
  4. Step 4: Simplify right side
    199,744x = 183,924,330,496
  5. Step 5: Solve for x
    x = 183,924,330,496/199,744
  6. Step 6: Final answer
    x = 920,800.28

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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.