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Finding the Third Proportional to 218,703 and 328,055

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Solution

The third proportional to 218,703 and 328,055 is: 492,083.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,703 : 328,055 = 328,055 : x
  2. Step 2: Convert to fraction form
    218,703/328,055 = 328,055/x
  3. Step 3: Cross multiply
    218,703x = 328,055 × 328,055
  4. Step 4: Simplify right side
    218,703x = 107,620,083,025
  5. Step 5: Solve for x
    x = 107,620,083,025/218,703
  6. Step 6: Final answer
    x = 492,083.25

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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.