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Finding the Third Proportional to 218,862 and 327,807

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Solution

The third proportional to 218,862 and 327,807 is: 490,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,862 : 327,807 = 327,807 : x
  2. Step 2: Convert to fraction form
    218,862/327,807 = 327,807/x
  3. Step 3: Cross multiply
    218,862x = 327,807 × 327,807
  4. Step 4: Simplify right side
    218,862x = 107,457,429,249
  5. Step 5: Solve for x
    x = 107,457,429,249/218,862
  6. Step 6: Final answer
    x = 490,982.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.