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Finding the Third Proportional to 218,767 and 328,154

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Solution

The third proportional to 218,767 and 328,154 is: 492,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,767 : 328,154 = 328,154 : x
  2. Step 2: Convert to fraction form
    218,767/328,154 = 328,154/x
  3. Step 3: Cross multiply
    218,767x = 328,154 × 328,154
  4. Step 4: Simplify right side
    218,767x = 107,685,047,716
  5. Step 5: Solve for x
    x = 107,685,047,716/218,767
  6. Step 6: Final answer
    x = 492,236.25

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