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Finding the Third Proportional to 218,652 and 328,652

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Solution

The third proportional to 218,652 and 328,652 is: 493,991.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,652 : 328,652 = 328,652 : x
  2. Step 2: Convert to fraction form
    218,652/328,652 = 328,652/x
  3. Step 3: Cross multiply
    218,652x = 328,652 × 328,652
  4. Step 4: Simplify right side
    218,652x = 108,012,137,104
  5. Step 5: Solve for x
    x = 108,012,137,104/218,652
  6. Step 6: Final answer
    x = 493,991.08

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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.