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Finding the Third Proportional to 311,190 and 633,803

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Solution

The third proportional to 311,190 and 633,803 is: 1,290,871.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,190 : 633,803 = 633,803 : x
  2. Step 2: Convert to fraction form
    311,190/633,803 = 633,803/x
  3. Step 3: Cross multiply
    311,190x = 633,803 × 633,803
  4. Step 4: Simplify right side
    311,190x = 401,706,242,809
  5. Step 5: Solve for x
    x = 401,706,242,809/311,190
  6. Step 6: Final answer
    x = 1,290,871.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.