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Finding the Third Proportional to 218,440 and 329,667

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Solution

The third proportional to 218,440 and 329,667 is: 497,529.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,440 : 329,667 = 329,667 : x
  2. Step 2: Convert to fraction form
    218,440/329,667 = 329,667/x
  3. Step 3: Cross multiply
    218,440x = 329,667 × 329,667
  4. Step 4: Simplify right side
    218,440x = 108,680,330,889
  5. Step 5: Solve for x
    x = 108,680,330,889/218,440
  6. Step 6: Final answer
    x = 497,529.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.