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Finding the Third Proportional to 218,258 and 328,197

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Solution

The third proportional to 218,258 and 328,197 is: 493,513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,258 : 328,197 = 328,197 : x
  2. Step 2: Convert to fraction form
    218,258/328,197 = 328,197/x
  3. Step 3: Cross multiply
    218,258x = 328,197 × 328,197
  4. Step 4: Simplify right side
    218,258x = 107,713,270,809
  5. Step 5: Solve for x
    x = 107,713,270,809/218,258
  6. Step 6: Final answer
    x = 493,513.51

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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.