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Finding the Third Proportional to 238,869 and 345,303

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Solution

The third proportional to 238,869 and 345,303 is: 499,161.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,869 : 345,303 = 345,303 : x
  2. Step 2: Convert to fraction form
    238,869/345,303 = 345,303/x
  3. Step 3: Cross multiply
    238,869x = 345,303 × 345,303
  4. Step 4: Simplify right side
    238,869x = 119,234,161,809
  5. Step 5: Solve for x
    x = 119,234,161,809/238,869
  6. Step 6: Final answer
    x = 499,161.31

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.