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Finding the Third Proportional to 218,208 and 296,206

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Solution

The third proportional to 218,208 and 296,206 is: 402,084.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,208 : 296,206 = 296,206 : x
  2. Step 2: Convert to fraction form
    218,208/296,206 = 296,206/x
  3. Step 3: Cross multiply
    218,208x = 296,206 × 296,206
  4. Step 4: Simplify right side
    218,208x = 87,737,994,436
  5. Step 5: Solve for x
    x = 87,737,994,436/218,208
  6. Step 6: Final answer
    x = 402,084.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.