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Finding the Third Proportional to 444,282 and 633,183

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Solution

The third proportional to 444,282 and 633,183 is: 902,401.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,282 : 633,183 = 633,183 : x
  2. Step 2: Convert to fraction form
    444,282/633,183 = 633,183/x
  3. Step 3: Cross multiply
    444,282x = 633,183 × 633,183
  4. Step 4: Simplify right side
    444,282x = 400,920,711,489
  5. Step 5: Solve for x
    x = 400,920,711,489/444,282
  6. Step 6: Final answer
    x = 902,401.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.